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Finding the Third Proportional to 31,207.50 and 50,701.13

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Solution

The third proportional to 31,207.50 and 50,701.13 is: 82,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.50 : 50,701.13 = 50,701.13 : x
  2. Step 2: Convert to fraction form
    31,207.50/50,701.13 = 50,701.13/x
  3. Step 3: Cross multiply
    31,207.50x = 50,701.13 × 50,701.13
  4. Step 4: Simplify right side
    31,207.50x = 2,570,604,076.27
  5. Step 5: Solve for x
    x = 2,570,604,076.27/31,207.50
  6. Step 6: Final answer
    x = 82,371.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.