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Finding the Third Proportional to 38,616.75 and 56,755.69

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Solution

The third proportional to 38,616.75 and 56,755.69 is: 83,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.75 : 56,755.69 = 56,755.69 : x
  2. Step 2: Convert to fraction form
    38,616.75/56,755.69 = 56,755.69/x
  3. Step 3: Cross multiply
    38,616.75x = 56,755.69 × 56,755.69
  4. Step 4: Simplify right side
    38,616.75x = 3,221,208,063.60
  5. Step 5: Solve for x
    x = 3,221,208,063.60/38,616.75
  6. Step 6: Final answer
    x = 83,414.79

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