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Finding the Third Proportional to 37,432 and 55,600

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Solution

The third proportional to 37,432 and 55,600 is: 82,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,432 : 55,600 = 55,600 : x
  2. Step 2: Convert to fraction form
    37,432/55,600 = 55,600/x
  3. Step 3: Cross multiply
    37,432x = 55,600 × 55,600
  4. Step 4: Simplify right side
    37,432x = 3,091,360,000
  5. Step 5: Solve for x
    x = 3,091,360,000/37,432
  6. Step 6: Final answer
    x = 82,586.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.