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Finding the Third Proportional to 37,407 and 55,981

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Solution

The third proportional to 37,407 and 55,981 is: 83,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 55,981 = 55,981 : x
  2. Step 2: Convert to fraction form
    37,407/55,981 = 55,981/x
  3. Step 3: Cross multiply
    37,407x = 55,981 × 55,981
  4. Step 4: Simplify right side
    37,407x = 3,133,872,361
  5. Step 5: Solve for x
    x = 3,133,872,361/37,407
  6. Step 6: Final answer
    x = 83,777.70

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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.