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Finding the Third Proportional to 38,863.13 and 51,586.13

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Solution

The third proportional to 38,863.13 and 51,586.13 is: 68,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.13 : 51,586.13 = 51,586.13 : x
  2. Step 2: Convert to fraction form
    38,863.13/51,586.13 = 51,586.13/x
  3. Step 3: Cross multiply
    38,863.13x = 51,586.13 × 51,586.13
  4. Step 4: Simplify right side
    38,863.13x = 2,661,128,292.52
  5. Step 5: Solve for x
    x = 2,661,128,292.52/38,863.13
  6. Step 6: Final answer
    x = 68,474.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.