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Finding the Third Proportional to 27,502.03 and 40,524.05

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Solution

The third proportional to 27,502.03 and 40,524.05 is: 59,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.03 : 40,524.05 = 40,524.05 : x
  2. Step 2: Convert to fraction form
    27,502.03/40,524.05 = 40,524.05/x
  3. Step 3: Cross multiply
    27,502.03x = 40,524.05 × 40,524.05
  4. Step 4: Simplify right side
    27,502.03x = 1,642,198,375.13
  5. Step 5: Solve for x
    x = 1,642,198,375.13/27,502.03
  6. Step 6: Final answer
    x = 59,711.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.