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Finding the Third Proportional to 31,057.88 and 41,379.19

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Solution

The third proportional to 31,057.88 and 41,379.19 is: 55,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.88 : 41,379.19 = 41,379.19 : x
  2. Step 2: Convert to fraction form
    31,057.88/41,379.19 = 41,379.19/x
  3. Step 3: Cross multiply
    31,057.88x = 41,379.19 × 41,379.19
  4. Step 4: Simplify right side
    31,057.88x = 1,712,237,158.16
  5. Step 5: Solve for x
    x = 1,712,237,158.16/31,057.88
  6. Step 6: Final answer
    x = 55,130.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.