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Finding the Third Proportional to 6,434 and 7,397

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Solution

The third proportional to 6,434 and 7,397 is: 8,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 7,397 = 7,397 : x
  2. Step 2: Convert to fraction form
    6,434/7,397 = 7,397/x
  3. Step 3: Cross multiply
    6,434x = 7,397 × 7,397
  4. Step 4: Simplify right side
    6,434x = 54,715,609
  5. Step 5: Solve for x
    x = 54,715,609/6,434
  6. Step 6: Final answer
    x = 8,504.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.