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Finding the Third Proportional to 5,498 and 8,502

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Solution

The third proportional to 5,498 and 8,502 is: 13,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 8,502 = 8,502 : x
  2. Step 2: Convert to fraction form
    5,498/8,502 = 8,502/x
  3. Step 3: Cross multiply
    5,498x = 8,502 × 8,502
  4. Step 4: Simplify right side
    5,498x = 72,284,004
  5. Step 5: Solve for x
    x = 72,284,004/5,498
  6. Step 6: Final answer
    x = 13,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.