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Finding the Third Proportional to 8,498 and 19,569

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Solution

The third proportional to 8,498 and 19,569 is: 45,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498 : 19,569 = 19,569 : x
  2. Step 2: Convert to fraction form
    8,498/19,569 = 19,569/x
  3. Step 3: Cross multiply
    8,498x = 19,569 × 19,569
  4. Step 4: Simplify right side
    8,498x = 382,945,761
  5. Step 5: Solve for x
    x = 382,945,761/8,498
  6. Step 6: Final answer
    x = 45,063.05

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.