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Finding the Third Proportional to 36,229.50 and 54,010.13

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Solution

The third proportional to 36,229.50 and 54,010.13 is: 80,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,229.50 : 54,010.13 = 54,010.13 : x
  2. Step 2: Convert to fraction form
    36,229.50/54,010.13 = 54,010.13/x
  3. Step 3: Cross multiply
    36,229.50x = 54,010.13 × 54,010.13
  4. Step 4: Simplify right side
    36,229.50x = 2,917,093,602.52
  5. Step 5: Solve for x
    x = 2,917,093,602.52/36,229.50
  6. Step 6: Final answer
    x = 80,517.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.