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Finding the Third Proportional to 37,400 and 55,562

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Solution

The third proportional to 37,400 and 55,562 is: 82,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400 : 55,562 = 55,562 : x
  2. Step 2: Convert to fraction form
    37,400/55,562 = 55,562/x
  3. Step 3: Cross multiply
    37,400x = 55,562 × 55,562
  4. Step 4: Simplify right side
    37,400x = 3,087,135,844
  5. Step 5: Solve for x
    x = 3,087,135,844/37,400
  6. Step 6: Final answer
    x = 82,543.74

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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.