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Finding the Third Proportional to 5,345 and 8,398

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Solution

The third proportional to 5,345 and 8,398 is: 13,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345 : 8,398 = 8,398 : x
  2. Step 2: Convert to fraction form
    5,345/8,398 = 8,398/x
  3. Step 3: Cross multiply
    5,345x = 8,398 × 8,398
  4. Step 4: Simplify right side
    5,345x = 70,526,404
  5. Step 5: Solve for x
    x = 70,526,404/5,345
  6. Step 6: Final answer
    x = 13,194.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.