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Finding the Third Proportional to 11,517.50 and 24,673

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Solution

The third proportional to 11,517.50 and 24,673 is: 52,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.50 : 24,673 = 24,673 : x
  2. Step 2: Convert to fraction form
    11,517.50/24,673 = 24,673/x
  3. Step 3: Cross multiply
    11,517.50x = 24,673 × 24,673
  4. Step 4: Simplify right side
    11,517.50x = 608,756,929
  5. Step 5: Solve for x
    x = 608,756,929/11,517.50
  6. Step 6: Final answer
    x = 52,854.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.