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Finding the Third Proportional to 37,513.13 and 54,781.31

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Solution

The third proportional to 37,513.13 and 54,781.31 is: 79,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,513.13 : 54,781.31 = 54,781.31 : x
  2. Step 2: Convert to fraction form
    37,513.13/54,781.31 = 54,781.31/x
  3. Step 3: Cross multiply
    37,513.13x = 54,781.31 × 54,781.31
  4. Step 4: Simplify right side
    37,513.13x = 3,000,992,199.22
  5. Step 5: Solve for x
    x = 3,000,992,199.22/37,513.13
  6. Step 6: Final answer
    x = 79,998.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.