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Finding the Third Proportional to 2,237.63 and 3,142.97

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Solution

The third proportional to 2,237.63 and 3,142.97 is: 4,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.63 : 3,142.97 = 3,142.97 : x
  2. Step 2: Convert to fraction form
    2,237.63/3,142.97 = 3,142.97/x
  3. Step 3: Cross multiply
    2,237.63x = 3,142.97 × 3,142.97
  4. Step 4: Simplify right side
    2,237.63x = 9,878,252.56
  5. Step 5: Solve for x
    x = 9,878,252.56/2,237.63
  6. Step 6: Final answer
    x = 4,414.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.