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Finding the Third Proportional to 4,498 and 10,414

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Solution

The third proportional to 4,498 and 10,414 is: 24,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498 : 10,414 = 10,414 : x
  2. Step 2: Convert to fraction form
    4,498/10,414 = 10,414/x
  3. Step 3: Cross multiply
    4,498x = 10,414 × 10,414
  4. Step 4: Simplify right side
    4,498x = 108,451,396
  5. Step 5: Solve for x
    x = 108,451,396/4,498
  6. Step 6: Final answer
    x = 24,111.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.