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Finding the Third Proportional to 1,142.44 and 2,374.31

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Solution

The third proportional to 1,142.44 and 2,374.31 is: 4,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.44 : 2,374.31 = 2,374.31 : x
  2. Step 2: Convert to fraction form
    1,142.44/2,374.31 = 2,374.31/x
  3. Step 3: Cross multiply
    1,142.44x = 2,374.31 × 2,374.31
  4. Step 4: Simplify right side
    1,142.44x = 5,637,359.85
  5. Step 5: Solve for x
    x = 5,637,359.85/1,142.44
  6. Step 6: Final answer
    x = 4,934.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.