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Finding the Third Proportional to 26,524.13 and 38,760.19

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Solution

The third proportional to 26,524.13 and 38,760.19 is: 56,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.13 : 38,760.19 = 38,760.19 : x
  2. Step 2: Convert to fraction form
    26,524.13/38,760.19 = 38,760.19/x
  3. Step 3: Cross multiply
    26,524.13x = 38,760.19 × 38,760.19
  4. Step 4: Simplify right side
    26,524.13x = 1,502,352,135.04
  5. Step 5: Solve for x
    x = 1,502,352,135.04/26,524.13
  6. Step 6: Final answer
    x = 56,640.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.