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Finding the Third Proportional to 13,964 and 30,691

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Solution

The third proportional to 13,964 and 30,691 is: 67,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 30,691 = 30,691 : x
  2. Step 2: Convert to fraction form
    13,964/30,691 = 30,691/x
  3. Step 3: Cross multiply
    13,964x = 30,691 × 30,691
  4. Step 4: Simplify right side
    13,964x = 941,937,481
  5. Step 5: Solve for x
    x = 941,937,481/13,964
  6. Step 6: Final answer
    x = 67,454.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.