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Finding the Third Proportional to 24,831 and 31,881.50

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Solution

The third proportional to 24,831 and 31,881.50 is: 40,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831 : 31,881.50 = 31,881.50 : x
  2. Step 2: Convert to fraction form
    24,831/31,881.50 = 31,881.50/x
  3. Step 3: Cross multiply
    24,831x = 31,881.50 × 31,881.50
  4. Step 4: Simplify right side
    24,831x = 1,016,430,042.25
  5. Step 5: Solve for x
    x = 1,016,430,042.25/24,831
  6. Step 6: Final answer
    x = 40,933.91

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.