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Finding the Third Proportional to 36,732.75 and 56,773.13

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Solution

The third proportional to 36,732.75 and 56,773.13 is: 87,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,732.75 : 56,773.13 = 56,773.13 : x
  2. Step 2: Convert to fraction form
    36,732.75/56,773.13 = 56,773.13/x
  3. Step 3: Cross multiply
    36,732.75x = 56,773.13 × 56,773.13
  4. Step 4: Simplify right side
    36,732.75x = 3,223,187,722.27
  5. Step 5: Solve for x
    x = 3,223,187,722.27/36,732.75
  6. Step 6: Final answer
    x = 87,746.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.