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Finding the Third Proportional to 13,498 and 15,898

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Solution

The third proportional to 13,498 and 15,898 is: 18,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 15,898 = 15,898 : x
  2. Step 2: Convert to fraction form
    13,498/15,898 = 15,898/x
  3. Step 3: Cross multiply
    13,498x = 15,898 × 15,898
  4. Step 4: Simplify right side
    13,498x = 252,746,404
  5. Step 5: Solve for x
    x = 252,746,404/13,498
  6. Step 6: Final answer
    x = 18,724.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.