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Finding the Third Proportional to 31,979.81 and 50,166.84

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Solution

The third proportional to 31,979.81 and 50,166.84 is: 78,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.81 : 50,166.84 = 50,166.84 : x
  2. Step 2: Convert to fraction form
    31,979.81/50,166.84 = 50,166.84/x
  3. Step 3: Cross multiply
    31,979.81x = 50,166.84 × 50,166.84
  4. Step 4: Simplify right side
    31,979.81x = 2,516,712,211.84
  5. Step 5: Solve for x
    x = 2,516,712,211.84/31,979.81
  6. Step 6: Final answer
    x = 78,696.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.