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Finding the Third Proportional to 1,029.38 and 2,262.94

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Solution

The third proportional to 1,029.38 and 2,262.94 is: 4,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.38 : 2,262.94 = 2,262.94 : x
  2. Step 2: Convert to fraction form
    1,029.38/2,262.94 = 2,262.94/x
  3. Step 3: Cross multiply
    1,029.38x = 2,262.94 × 2,262.94
  4. Step 4: Simplify right side
    1,029.38x = 5,120,886.13
  5. Step 5: Solve for x
    x = 5,120,886.13/1,029.38
  6. Step 6: Final answer
    x = 4,974.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.