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Finding the Third Proportional to 36,719 and 55,493

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Solution

The third proportional to 36,719 and 55,493 is: 83,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,719 : 55,493 = 55,493 : x
  2. Step 2: Convert to fraction form
    36,719/55,493 = 55,493/x
  3. Step 3: Cross multiply
    36,719x = 55,493 × 55,493
  4. Step 4: Simplify right side
    36,719x = 3,079,473,049
  5. Step 5: Solve for x
    x = 3,079,473,049/36,719
  6. Step 6: Final answer
    x = 83,865.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.