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Finding the Third Proportional to 15,202.69 and 22,743.28

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Solution

The third proportional to 15,202.69 and 22,743.28 is: 34,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.69 : 22,743.28 = 22,743.28 : x
  2. Step 2: Convert to fraction form
    15,202.69/22,743.28 = 22,743.28/x
  3. Step 3: Cross multiply
    15,202.69x = 22,743.28 × 22,743.28
  4. Step 4: Simplify right side
    15,202.69x = 517,256,842.02
  5. Step 5: Solve for x
    x = 517,256,842.02/15,202.69
  6. Step 6: Final answer
    x = 34,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.