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Finding the Third Proportional to 37,487.25 and 58,023

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Solution

The third proportional to 37,487.25 and 58,023 is: 89,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.25 : 58,023 = 58,023 : x
  2. Step 2: Convert to fraction form
    37,487.25/58,023 = 58,023/x
  3. Step 3: Cross multiply
    37,487.25x = 58,023 × 58,023
  4. Step 4: Simplify right side
    37,487.25x = 3,366,668,529
  5. Step 5: Solve for x
    x = 3,366,668,529/37,487.25
  6. Step 6: Final answer
    x = 89,808.36

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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.