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Finding the Third Proportional to 24,829.88 and 31,880.25

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Solution

The third proportional to 24,829.88 and 31,880.25 is: 40,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.88 : 31,880.25 = 31,880.25 : x
  2. Step 2: Convert to fraction form
    24,829.88/31,880.25 = 31,880.25/x
  3. Step 3: Cross multiply
    24,829.88x = 31,880.25 × 31,880.25
  4. Step 4: Simplify right side
    24,829.88x = 1,016,350,340.06
  5. Step 5: Solve for x
    x = 1,016,350,340.06/24,829.88
  6. Step 6: Final answer
    x = 40,932.56

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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.