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Finding the Third Proportional to 13,298 and 20,413

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Solution

The third proportional to 13,298 and 20,413 is: 31,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298 : 20,413 = 20,413 : x
  2. Step 2: Convert to fraction form
    13,298/20,413 = 20,413/x
  3. Step 3: Cross multiply
    13,298x = 20,413 × 20,413
  4. Step 4: Simplify right side
    13,298x = 416,690,569
  5. Step 5: Solve for x
    x = 416,690,569/13,298
  6. Step 6: Final answer
    x = 31,334.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.