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Finding the Third Proportional to 1,143.38 and 2,448.75

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Solution

The third proportional to 1,143.38 and 2,448.75 is: 5,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.38 : 2,448.75 = 2,448.75 : x
  2. Step 2: Convert to fraction form
    1,143.38/2,448.75 = 2,448.75/x
  3. Step 3: Cross multiply
    1,143.38x = 2,448.75 × 2,448.75
  4. Step 4: Simplify right side
    1,143.38x = 5,996,376.56
  5. Step 5: Solve for x
    x = 5,996,376.56/1,143.38
  6. Step 6: Final answer
    x = 5,244.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.