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Finding the Third Proportional to 5,691 and 13,413

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Solution

The third proportional to 5,691 and 13,413 is: 31,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 13,413 = 13,413 : x
  2. Step 2: Convert to fraction form
    5,691/13,413 = 13,413/x
  3. Step 3: Cross multiply
    5,691x = 13,413 × 13,413
  4. Step 4: Simplify right side
    5,691x = 179,908,569
  5. Step 5: Solve for x
    x = 179,908,569/5,691
  6. Step 6: Final answer
    x = 31,612.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.