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Finding the Third Proportional to 38,961 and 55,713

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Solution

The third proportional to 38,961 and 55,713 is: 79,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,961 : 55,713 = 55,713 : x
  2. Step 2: Convert to fraction form
    38,961/55,713 = 55,713/x
  3. Step 3: Cross multiply
    38,961x = 55,713 × 55,713
  4. Step 4: Simplify right side
    38,961x = 3,103,938,369
  5. Step 5: Solve for x
    x = 3,103,938,369/38,961
  6. Step 6: Final answer
    x = 79,667.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.