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Finding the Third Proportional to 10,188.28 and 22,125.66

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Solution

The third proportional to 10,188.28 and 22,125.66 is: 48,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.28 : 22,125.66 = 22,125.66 : x
  2. Step 2: Convert to fraction form
    10,188.28/22,125.66 = 22,125.66/x
  3. Step 3: Cross multiply
    10,188.28x = 22,125.66 × 22,125.66
  4. Step 4: Simplify right side
    10,188.28x = 489,544,664.49
  5. Step 5: Solve for x
    x = 489,544,664.49/10,188.28
  6. Step 6: Final answer
    x = 48,049.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.