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Finding the Third Proportional to 1,134.51 and 2,442.85

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Solution

The third proportional to 1,134.51 and 2,442.85 is: 5,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.51 : 2,442.85 = 2,442.85 : x
  2. Step 2: Convert to fraction form
    1,134.51/2,442.85 = 2,442.85/x
  3. Step 3: Cross multiply
    1,134.51x = 2,442.85 × 2,442.85
  4. Step 4: Simplify right side
    1,134.51x = 5,967,535.68
  5. Step 5: Solve for x
    x = 5,967,535.68/1,134.51
  6. Step 6: Final answer
    x = 5,259.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.