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Finding the Third Proportional to 16,061 and 38,687

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Solution

The third proportional to 16,061 and 38,687 is: 93,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061 : 38,687 = 38,687 : x
  2. Step 2: Convert to fraction form
    16,061/38,687 = 38,687/x
  3. Step 3: Cross multiply
    16,061x = 38,687 × 38,687
  4. Step 4: Simplify right side
    16,061x = 1,496,683,969
  5. Step 5: Solve for x
    x = 1,496,683,969/16,061
  6. Step 6: Final answer
    x = 93,187.47

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.