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Finding the Third Proportional to 5,486 and 8,497

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Solution

The third proportional to 5,486 and 8,497 is: 13,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486 : 8,497 = 8,497 : x
  2. Step 2: Convert to fraction form
    5,486/8,497 = 8,497/x
  3. Step 3: Cross multiply
    5,486x = 8,497 × 8,497
  4. Step 4: Simplify right side
    5,486x = 72,199,009
  5. Step 5: Solve for x
    x = 72,199,009/5,486
  6. Step 6: Final answer
    x = 13,160.59

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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.