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Finding the Third Proportional to 6,397 and 9,370

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Solution

The third proportional to 6,397 and 9,370 is: 13,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 9,370 = 9,370 : x
  2. Step 2: Convert to fraction form
    6,397/9,370 = 9,370/x
  3. Step 3: Cross multiply
    6,397x = 9,370 × 9,370
  4. Step 4: Simplify right side
    6,397x = 87,796,900
  5. Step 5: Solve for x
    x = 87,796,900/6,397
  6. Step 6: Final answer
    x = 13,724.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.