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Finding the Third Proportional to 6,486 and 10,413

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Solution

The third proportional to 6,486 and 10,413 is: 16,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486 : 10,413 = 10,413 : x
  2. Step 2: Convert to fraction form
    6,486/10,413 = 10,413/x
  3. Step 3: Cross multiply
    6,486x = 10,413 × 10,413
  4. Step 4: Simplify right side
    6,486x = 108,430,569
  5. Step 5: Solve for x
    x = 108,430,569/6,486
  6. Step 6: Final answer
    x = 16,717.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.