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Finding the Third Proportional to 36,658.50 and 55,648.50

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Solution

The third proportional to 36,658.50 and 55,648.50 is: 84,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.50 : 55,648.50 = 55,648.50 : x
  2. Step 2: Convert to fraction form
    36,658.50/55,648.50 = 55,648.50/x
  3. Step 3: Cross multiply
    36,658.50x = 55,648.50 × 55,648.50
  4. Step 4: Simplify right side
    36,658.50x = 3,096,755,552.25
  5. Step 5: Solve for x
    x = 3,096,755,552.25/36,658.50
  6. Step 6: Final answer
    x = 84,475.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.