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Finding the Third Proportional to 20,331 and 31,306.50

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Solution

The third proportional to 20,331 and 31,306.50 is: 48,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,331 : 31,306.50 = 31,306.50 : x
  2. Step 2: Convert to fraction form
    20,331/31,306.50 = 31,306.50/x
  3. Step 3: Cross multiply
    20,331x = 31,306.50 × 31,306.50
  4. Step 4: Simplify right side
    20,331x = 980,096,942.25
  5. Step 5: Solve for x
    x = 980,096,942.25/20,331
  6. Step 6: Final answer
    x = 48,207.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.