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Finding the Third Proportional to 2,232.56 and 4,857.47

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Solution

The third proportional to 2,232.56 and 4,857.47 is: 10,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 4,857.47 = 4,857.47 : x
  2. Step 2: Convert to fraction form
    2,232.56/4,857.47 = 4,857.47/x
  3. Step 3: Cross multiply
    2,232.56x = 4,857.47 × 4,857.47
  4. Step 4: Simplify right side
    2,232.56x = 23,595,002.66
  5. Step 5: Solve for x
    x = 23,595,002.66/2,232.56
  6. Step 6: Final answer
    x = 10,568.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.