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Finding the Third Proportional to 6,397 and 8,598

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Solution

The third proportional to 6,397 and 8,598 is: 11,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 8,598 = 8,598 : x
  2. Step 2: Convert to fraction form
    6,397/8,598 = 8,598/x
  3. Step 3: Cross multiply
    6,397x = 8,598 × 8,598
  4. Step 4: Simplify right side
    6,397x = 73,925,604
  5. Step 5: Solve for x
    x = 73,925,604/6,397
  6. Step 6: Final answer
    x = 11,556.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.