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Finding the Third Proportional to 37,285.31 and 54,167.06

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Solution

The third proportional to 37,285.31 and 54,167.06 is: 78,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,285.31 : 54,167.06 = 54,167.06 : x
  2. Step 2: Convert to fraction form
    37,285.31/54,167.06 = 54,167.06/x
  3. Step 3: Cross multiply
    37,285.31x = 54,167.06 × 54,167.06
  4. Step 4: Simplify right side
    37,285.31x = 2,934,070,659.88
  5. Step 5: Solve for x
    x = 2,934,070,659.88/37,285.31
  6. Step 6: Final answer
    x = 78,692.40

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.