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Finding the Third Proportional to 37,074 and 54,631.50

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Solution

The third proportional to 37,074 and 54,631.50 is: 80,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074 : 54,631.50 = 54,631.50 : x
  2. Step 2: Convert to fraction form
    37,074/54,631.50 = 54,631.50/x
  3. Step 3: Cross multiply
    37,074x = 54,631.50 × 54,631.50
  4. Step 4: Simplify right side
    37,074x = 2,984,600,792.25
  5. Step 5: Solve for x
    x = 2,984,600,792.25/37,074
  6. Step 6: Final answer
    x = 80,503.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.