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Finding the Third Proportional to 38,282 and 55,911

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Solution

The third proportional to 38,282 and 55,911 is: 81,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282 : 55,911 = 55,911 : x
  2. Step 2: Convert to fraction form
    38,282/55,911 = 55,911/x
  3. Step 3: Cross multiply
    38,282x = 55,911 × 55,911
  4. Step 4: Simplify right side
    38,282x = 3,126,039,921
  5. Step 5: Solve for x
    x = 3,126,039,921/38,282
  6. Step 6: Final answer
    x = 81,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.