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Finding the Third Proportional to 32,626.13 and 68,752.13

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Solution

The third proportional to 32,626.13 and 68,752.13 is: 144,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626.13 : 68,752.13 = 68,752.13 : x
  2. Step 2: Convert to fraction form
    32,626.13/68,752.13 = 68,752.13/x
  3. Step 3: Cross multiply
    32,626.13x = 68,752.13 × 68,752.13
  4. Step 4: Simplify right side
    32,626.13x = 4,726,854,692.02
  5. Step 5: Solve for x
    x = 4,726,854,692.02/32,626.13
  6. Step 6: Final answer
    x = 144,879.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.