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Finding the Third Proportional to 1,232.88 and 2,663.38

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Solution

The third proportional to 1,232.88 and 2,663.38 is: 5,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.88 : 2,663.38 = 2,663.38 : x
  2. Step 2: Convert to fraction form
    1,232.88/2,663.38 = 2,663.38/x
  3. Step 3: Cross multiply
    1,232.88x = 2,663.38 × 2,663.38
  4. Step 4: Simplify right side
    1,232.88x = 7,093,566.39
  5. Step 5: Solve for x
    x = 7,093,566.39/1,232.88
  6. Step 6: Final answer
    x = 5,753.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.