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Finding the Third Proportional to 36,393.75 and 57,871.13

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Solution

The third proportional to 36,393.75 and 57,871.13 is: 92,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,393.75 : 57,871.13 = 57,871.13 : x
  2. Step 2: Convert to fraction form
    36,393.75/57,871.13 = 57,871.13/x
  3. Step 3: Cross multiply
    36,393.75x = 57,871.13 × 57,871.13
  4. Step 4: Simplify right side
    36,393.75x = 3,349,067,108.77
  5. Step 5: Solve for x
    x = 3,349,067,108.77/36,393.75
  6. Step 6: Final answer
    x = 92,023.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.