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Finding the Third Proportional to 20,120.50 and 31,331

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Solution

The third proportional to 20,120.50 and 31,331 is: 48,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.50 : 31,331 = 31,331 : x
  2. Step 2: Convert to fraction form
    20,120.50/31,331 = 31,331/x
  3. Step 3: Cross multiply
    20,120.50x = 31,331 × 31,331
  4. Step 4: Simplify right side
    20,120.50x = 981,631,561
  5. Step 5: Solve for x
    x = 981,631,561/20,120.50
  6. Step 6: Final answer
    x = 48,787.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.