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Finding the Third Proportional to 15,829.17 and 22,542.05

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Solution

The third proportional to 15,829.17 and 22,542.05 is: 32,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.17 : 22,542.05 = 22,542.05 : x
  2. Step 2: Convert to fraction form
    15,829.17/22,542.05 = 22,542.05/x
  3. Step 3: Cross multiply
    15,829.17x = 22,542.05 × 22,542.05
  4. Step 4: Simplify right side
    15,829.17x = 508,143,877.31
  5. Step 5: Solve for x
    x = 508,143,877.31/15,829.17
  6. Step 6: Final answer
    x = 32,101.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.