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Finding the Third Proportional to 20,003.63 and 46,310.63

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Solution

The third proportional to 20,003.63 and 46,310.63 is: 107,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.63 : 46,310.63 = 46,310.63 : x
  2. Step 2: Convert to fraction form
    20,003.63/46,310.63 = 46,310.63/x
  3. Step 3: Cross multiply
    20,003.63x = 46,310.63 × 46,310.63
  4. Step 4: Simplify right side
    20,003.63x = 2,144,673,987.89
  5. Step 5: Solve for x
    x = 2,144,673,987.89/20,003.63
  6. Step 6: Final answer
    x = 107,214.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.