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Finding the Third Proportional to 6,418 and 9,419

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Solution

The third proportional to 6,418 and 9,419 is: 13,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418 : 9,419 = 9,419 : x
  2. Step 2: Convert to fraction form
    6,418/9,419 = 9,419/x
  3. Step 3: Cross multiply
    6,418x = 9,419 × 9,419
  4. Step 4: Simplify right side
    6,418x = 88,717,561
  5. Step 5: Solve for x
    x = 88,717,561/6,418
  6. Step 6: Final answer
    x = 13,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.