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Finding the Third Proportional to 3,250.13 and 5,135.27

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Solution

The third proportional to 3,250.13 and 5,135.27 is: 8,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.13 : 5,135.27 = 5,135.27 : x
  2. Step 2: Convert to fraction form
    3,250.13/5,135.27 = 5,135.27/x
  3. Step 3: Cross multiply
    3,250.13x = 5,135.27 × 5,135.27
  4. Step 4: Simplify right side
    3,250.13x = 26,371,033.28
  5. Step 5: Solve for x
    x = 26,371,033.28/3,250.13
  6. Step 6: Final answer
    x = 8,113.85

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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.