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Finding the Third Proportional to 14,593.92 and 22,309.17

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Solution

The third proportional to 14,593.92 and 22,309.17 is: 34,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.92 : 22,309.17 = 22,309.17 : x
  2. Step 2: Convert to fraction form
    14,593.92/22,309.17 = 22,309.17/x
  3. Step 3: Cross multiply
    14,593.92x = 22,309.17 × 22,309.17
  4. Step 4: Simplify right side
    14,593.92x = 497,699,149.75
  5. Step 5: Solve for x
    x = 497,699,149.75/14,593.92
  6. Step 6: Final answer
    x = 34,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.