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Finding the Third Proportional to 2,498 and 6,413

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Solution

The third proportional to 2,498 and 6,413 is: 16,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498 : 6,413 = 6,413 : x
  2. Step 2: Convert to fraction form
    2,498/6,413 = 6,413/x
  3. Step 3: Cross multiply
    2,498x = 6,413 × 6,413
  4. Step 4: Simplify right side
    2,498x = 41,126,569
  5. Step 5: Solve for x
    x = 41,126,569/2,498
  6. Step 6: Final answer
    x = 16,463.80

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.