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Finding the Third Proportional to 1,232.38 and 1,902.56

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Solution

The third proportional to 1,232.38 and 1,902.56 is: 2,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.38 : 1,902.56 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    1,232.38/1,902.56 = 1,902.56/x
  3. Step 3: Cross multiply
    1,232.38x = 1,902.56 × 1,902.56
  4. Step 4: Simplify right side
    1,232.38x = 3,619,744.07
  5. Step 5: Solve for x
    x = 3,619,744.07/1,232.38
  6. Step 6: Final answer
    x = 2,937.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.