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Finding the Third Proportional to 2,571 and 5,532.38

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Solution

The third proportional to 2,571 and 5,532.38 is: 11,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571 : 5,532.38 = 5,532.38 : x
  2. Step 2: Convert to fraction form
    2,571/5,532.38 = 5,532.38/x
  3. Step 3: Cross multiply
    2,571x = 5,532.38 × 5,532.38
  4. Step 4: Simplify right side
    2,571x = 30,607,173.14
  5. Step 5: Solve for x
    x = 30,607,173.14/2,571
  6. Step 6: Final answer
    x = 11,904.77

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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.