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Finding the Third Proportional to 1,271.83 and 2,042.30

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Solution

The third proportional to 1,271.83 and 2,042.30 is: 3,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.83 : 2,042.30 = 2,042.30 : x
  2. Step 2: Convert to fraction form
    1,271.83/2,042.30 = 2,042.30/x
  3. Step 3: Cross multiply
    1,271.83x = 2,042.30 × 2,042.30
  4. Step 4: Simplify right side
    1,271.83x = 4,171,003.45
  5. Step 5: Solve for x
    x = 4,171,003.45/1,271.83
  6. Step 6: Final answer
    x = 3,279.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.