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Finding the Third Proportional to 14,275 and 29,467

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Solution

The third proportional to 14,275 and 29,467 is: 60,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275 : 29,467 = 29,467 : x
  2. Step 2: Convert to fraction form
    14,275/29,467 = 29,467/x
  3. Step 3: Cross multiply
    14,275x = 29,467 × 29,467
  4. Step 4: Simplify right side
    14,275x = 868,304,089
  5. Step 5: Solve for x
    x = 868,304,089/14,275
  6. Step 6: Final answer
    x = 60,826.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.