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Finding the Third Proportional to 41,806.13 and 59,883.75

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Solution

The third proportional to 41,806.13 and 59,883.75 is: 85,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806.13 : 59,883.75 = 59,883.75 : x
  2. Step 2: Convert to fraction form
    41,806.13/59,883.75 = 59,883.75/x
  3. Step 3: Cross multiply
    41,806.13x = 59,883.75 × 59,883.75
  4. Step 4: Simplify right side
    41,806.13x = 3,586,063,514.06
  5. Step 5: Solve for x
    x = 3,586,063,514.06/41,806.13
  6. Step 6: Final answer
    x = 85,778.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.