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Finding the Third Proportional to 7,031 and 13,414

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Solution

The third proportional to 7,031 and 13,414 is: 25,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031 : 13,414 = 13,414 : x
  2. Step 2: Convert to fraction form
    7,031/13,414 = 13,414/x
  3. Step 3: Cross multiply
    7,031x = 13,414 × 13,414
  4. Step 4: Simplify right side
    7,031x = 179,935,396
  5. Step 5: Solve for x
    x = 179,935,396/7,031
  6. Step 6: Final answer
    x = 25,591.72

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.