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Finding the Third Proportional to 37,869.75 and 58,635.75

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Solution

The third proportional to 37,869.75 and 58,635.75 is: 90,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,869.75 : 58,635.75 = 58,635.75 : x
  2. Step 2: Convert to fraction form
    37,869.75/58,635.75 = 58,635.75/x
  3. Step 3: Cross multiply
    37,869.75x = 58,635.75 × 58,635.75
  4. Step 4: Simplify right side
    37,869.75x = 3,438,151,178.06
  5. Step 5: Solve for x
    x = 3,438,151,178.06/37,869.75
  6. Step 6: Final answer
    x = 90,788.85

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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.