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Finding the Third Proportional to 10,593.75 and 22,818

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Solution

The third proportional to 10,593.75 and 22,818 is: 49,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.75 : 22,818 = 22,818 : x
  2. Step 2: Convert to fraction form
    10,593.75/22,818 = 22,818/x
  3. Step 3: Cross multiply
    10,593.75x = 22,818 × 22,818
  4. Step 4: Simplify right side
    10,593.75x = 520,661,124
  5. Step 5: Solve for x
    x = 520,661,124/10,593.75
  6. Step 6: Final answer
    x = 49,147.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.