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Finding the Third Proportional to 41,869.13 and 56,855.25

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Solution

The third proportional to 41,869.13 and 56,855.25 is: 77,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,869.13 : 56,855.25 = 56,855.25 : x
  2. Step 2: Convert to fraction form
    41,869.13/56,855.25 = 56,855.25/x
  3. Step 3: Cross multiply
    41,869.13x = 56,855.25 × 56,855.25
  4. Step 4: Simplify right side
    41,869.13x = 3,232,519,452.56
  5. Step 5: Solve for x
    x = 3,232,519,452.56/41,869.13
  6. Step 6: Final answer
    x = 77,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.