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Finding the Third Proportional to 37,860.75 and 56,791.13

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Solution

The third proportional to 37,860.75 and 56,791.13 is: 85,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,860.75 : 56,791.13 = 56,791.13 : x
  2. Step 2: Convert to fraction form
    37,860.75/56,791.13 = 56,791.13/x
  3. Step 3: Cross multiply
    37,860.75x = 56,791.13 × 56,791.13
  4. Step 4: Simplify right side
    37,860.75x = 3,225,231,878.77
  5. Step 5: Solve for x
    x = 3,225,231,878.77/37,860.75
  6. Step 6: Final answer
    x = 85,186.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.