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Finding the Third Proportional to 10,591.28 and 22,822.80

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Solution

The third proportional to 10,591.28 and 22,822.80 is: 49,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.28 : 22,822.80 = 22,822.80 : x
  2. Step 2: Convert to fraction form
    10,591.28/22,822.80 = 22,822.80/x
  3. Step 3: Cross multiply
    10,591.28x = 22,822.80 × 22,822.80
  4. Step 4: Simplify right side
    10,591.28x = 520,880,413.80
  5. Step 5: Solve for x
    x = 520,880,413.80/10,591.28
  6. Step 6: Final answer
    x = 49,180.13

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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.