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Finding the Third Proportional to 5,691 and 12,847.50

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Solution

The third proportional to 5,691 and 12,847.50 is: 29,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 12,847.50 = 12,847.50 : x
  2. Step 2: Convert to fraction form
    5,691/12,847.50 = 12,847.50/x
  3. Step 3: Cross multiply
    5,691x = 12,847.50 × 12,847.50
  4. Step 4: Simplify right side
    5,691x = 165,058,256.25
  5. Step 5: Solve for x
    x = 165,058,256.25/5,691
  6. Step 6: Final answer
    x = 29,003.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.