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Finding the Third Proportional to 535.31 and 1,155.56

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Solution

The third proportional to 535.31 and 1,155.56 is: 2,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 1,155.56 = 1,155.56 : x
  2. Step 2: Convert to fraction form
    535.31/1,155.56 = 1,155.56/x
  3. Step 3: Cross multiply
    535.31x = 1,155.56 × 1,155.56
  4. Step 4: Simplify right side
    535.31x = 1,335,324.69
  5. Step 5: Solve for x
    x = 1,335,324.69/535.31
  6. Step 6: Final answer
    x = 2,494.48

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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.