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Finding the Third Proportional to 37,583 and 58,151

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Solution

The third proportional to 37,583 and 58,151 is: 89,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,583 : 58,151 = 58,151 : x
  2. Step 2: Convert to fraction form
    37,583/58,151 = 58,151/x
  3. Step 3: Cross multiply
    37,583x = 58,151 × 58,151
  4. Step 4: Simplify right side
    37,583x = 3,381,538,801
  5. Step 5: Solve for x
    x = 3,381,538,801/37,583
  6. Step 6: Final answer
    x = 89,975.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.