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Finding the Third Proportional to 7,462 and 15,397

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Solution

The third proportional to 7,462 and 15,397 is: 31,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462 : 15,397 = 15,397 : x
  2. Step 2: Convert to fraction form
    7,462/15,397 = 15,397/x
  3. Step 3: Cross multiply
    7,462x = 15,397 × 15,397
  4. Step 4: Simplify right side
    7,462x = 237,067,609
  5. Step 5: Solve for x
    x = 237,067,609/7,462
  6. Step 6: Final answer
    x = 31,769.98

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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.