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Finding the Third Proportional to 37,666.13 and 58,281.19

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Solution

The third proportional to 37,666.13 and 58,281.19 is: 90,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.13 : 58,281.19 = 58,281.19 : x
  2. Step 2: Convert to fraction form
    37,666.13/58,281.19 = 58,281.19/x
  3. Step 3: Cross multiply
    37,666.13x = 58,281.19 × 58,281.19
  4. Step 4: Simplify right side
    37,666.13x = 3,396,696,816.41
  5. Step 5: Solve for x
    x = 3,396,696,816.41/37,666.13
  6. Step 6: Final answer
    x = 90,179.09

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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.