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Finding the Third Proportional to 10,180.69 and 21,591.56

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Solution

The third proportional to 10,180.69 and 21,591.56 is: 45,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.69 : 21,591.56 = 21,591.56 : x
  2. Step 2: Convert to fraction form
    10,180.69/21,591.56 = 21,591.56/x
  3. Step 3: Cross multiply
    10,180.69x = 21,591.56 × 21,591.56
  4. Step 4: Simplify right side
    10,180.69x = 466,195,571.19
  5. Step 5: Solve for x
    x = 466,195,571.19/10,180.69
  6. Step 6: Final answer
    x = 45,792.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.