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Finding the Third Proportional to 5,682 and 7,413

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Solution

The third proportional to 5,682 and 7,413 is: 9,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 7,413 = 7,413 : x
  2. Step 2: Convert to fraction form
    5,682/7,413 = 7,413/x
  3. Step 3: Cross multiply
    5,682x = 7,413 × 7,413
  4. Step 4: Simplify right side
    5,682x = 54,952,569
  5. Step 5: Solve for x
    x = 54,952,569/5,682
  6. Step 6: Final answer
    x = 9,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.