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Finding the Third Proportional to 51,715.41 and 80,407.41

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Solution

The third proportional to 51,715.41 and 80,407.41 is: 125,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,715.41 : 80,407.41 = 80,407.41 : x
  2. Step 2: Convert to fraction form
    51,715.41/80,407.41 = 80,407.41/x
  3. Step 3: Cross multiply
    51,715.41x = 80,407.41 × 80,407.41
  4. Step 4: Simplify right side
    51,715.41x = 6,465,350,979.85
  5. Step 5: Solve for x
    x = 6,465,350,979.85/51,715.41
  6. Step 6: Final answer
    x = 125,017.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.