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Finding the Third Proportional to 16,716.38 and 24,577.17

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Solution

The third proportional to 16,716.38 and 24,577.17 is: 36,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.38 : 24,577.17 = 24,577.17 : x
  2. Step 2: Convert to fraction form
    16,716.38/24,577.17 = 24,577.17/x
  3. Step 3: Cross multiply
    16,716.38x = 24,577.17 × 24,577.17
  4. Step 4: Simplify right side
    16,716.38x = 604,037,377.37
  5. Step 5: Solve for x
    x = 604,037,377.37/16,716.38
  6. Step 6: Final answer
    x = 36,134.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.