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Finding the Third Proportional to 38,166.75 and 58,384.13

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Solution

The third proportional to 38,166.75 and 58,384.13 is: 89,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 58,384.13 = 58,384.13 : x
  2. Step 2: Convert to fraction form
    38,166.75/58,384.13 = 58,384.13/x
  3. Step 3: Cross multiply
    38,166.75x = 58,384.13 × 58,384.13
  4. Step 4: Simplify right side
    38,166.75x = 3,408,706,052.02
  5. Step 5: Solve for x
    x = 3,408,706,052.02/38,166.75
  6. Step 6: Final answer
    x = 89,310.88

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