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Finding the Third Proportional to 3,517.50 and 5,569.88

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Solution

The third proportional to 3,517.50 and 5,569.88 is: 8,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.50 : 5,569.88 = 5,569.88 : x
  2. Step 2: Convert to fraction form
    3,517.50/5,569.88 = 5,569.88/x
  3. Step 3: Cross multiply
    3,517.50x = 5,569.88 × 5,569.88
  4. Step 4: Simplify right side
    3,517.50x = 31,023,507.52
  5. Step 5: Solve for x
    x = 31,023,507.52/3,517.50
  6. Step 6: Final answer
    x = 8,819.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.