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Finding the Third Proportional to 1,023.38 and 2,403.56

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Solution

The third proportional to 1,023.38 and 2,403.56 is: 5,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.38 : 2,403.56 = 2,403.56 : x
  2. Step 2: Convert to fraction form
    1,023.38/2,403.56 = 2,403.56/x
  3. Step 3: Cross multiply
    1,023.38x = 2,403.56 × 2,403.56
  4. Step 4: Simplify right side
    1,023.38x = 5,777,112.69
  5. Step 5: Solve for x
    x = 5,777,112.69/1,023.38
  6. Step 6: Final answer
    x = 5,645.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.