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Finding the Third Proportional to 30,650.63 and 41,189.63

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Solution

The third proportional to 30,650.63 and 41,189.63 is: 55,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.63 : 41,189.63 = 41,189.63 : x
  2. Step 2: Convert to fraction form
    30,650.63/41,189.63 = 41,189.63/x
  3. Step 3: Cross multiply
    30,650.63x = 41,189.63 × 41,189.63
  4. Step 4: Simplify right side
    30,650.63x = 1,696,585,207.64
  5. Step 5: Solve for x
    x = 1,696,585,207.64/30,650.63
  6. Step 6: Final answer
    x = 55,352.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.