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Finding the Third Proportional to 22,720.50 and 46,571.63

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Solution

The third proportional to 22,720.50 and 46,571.63 is: 95,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.50 : 46,571.63 = 46,571.63 : x
  2. Step 2: Convert to fraction form
    22,720.50/46,571.63 = 46,571.63/x
  3. Step 3: Cross multiply
    22,720.50x = 46,571.63 × 46,571.63
  4. Step 4: Simplify right side
    22,720.50x = 2,168,916,255.14
  5. Step 5: Solve for x
    x = 2,168,916,255.14/22,720.50
  6. Step 6: Final answer
    x = 95,460.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.