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Finding the Third Proportional to 6,530 and 15,397

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Solution

The third proportional to 6,530 and 15,397 is: 36,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 15,397 = 15,397 : x
  2. Step 2: Convert to fraction form
    6,530/15,397 = 15,397/x
  3. Step 3: Cross multiply
    6,530x = 15,397 × 15,397
  4. Step 4: Simplify right side
    6,530x = 237,067,609
  5. Step 5: Solve for x
    x = 237,067,609/6,530
  6. Step 6: Final answer
    x = 36,304.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.