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Finding the Third Proportional to 37,141 and 55,711

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Solution

The third proportional to 37,141 and 55,711 is: 83,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141 : 55,711 = 55,711 : x
  2. Step 2: Convert to fraction form
    37,141/55,711 = 55,711/x
  3. Step 3: Cross multiply
    37,141x = 55,711 × 55,711
  4. Step 4: Simplify right side
    37,141x = 3,103,715,521
  5. Step 5: Solve for x
    x = 3,103,715,521/37,141
  6. Step 6: Final answer
    x = 83,565.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.