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Finding the Third Proportional to 4,971 and 5,691

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Solution

The third proportional to 4,971 and 5,691 is: 6,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971 : 5,691 = 5,691 : x
  2. Step 2: Convert to fraction form
    4,971/5,691 = 5,691/x
  3. Step 3: Cross multiply
    4,971x = 5,691 × 5,691
  4. Step 4: Simplify right side
    4,971x = 32,387,481
  5. Step 5: Solve for x
    x = 32,387,481/4,971
  6. Step 6: Final answer
    x = 6,515.28

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.