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Finding the Third Proportional to 5,681 and 11,593

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Solution

The third proportional to 5,681 and 11,593 is: 23,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 11,593 = 11,593 : x
  2. Step 2: Convert to fraction form
    5,681/11,593 = 11,593/x
  3. Step 3: Cross multiply
    5,681x = 11,593 × 11,593
  4. Step 4: Simplify right side
    5,681x = 134,397,649
  5. Step 5: Solve for x
    x = 134,397,649/5,681
  6. Step 6: Final answer
    x = 23,657.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.