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Finding the Third Proportional to 1,012.13 and 2,077.13

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Solution

The third proportional to 1,012.13 and 2,077.13 is: 4,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.13 : 2,077.13 = 2,077.13 : x
  2. Step 2: Convert to fraction form
    1,012.13/2,077.13 = 2,077.13/x
  3. Step 3: Cross multiply
    1,012.13x = 2,077.13 × 2,077.13
  4. Step 4: Simplify right side
    1,012.13x = 4,314,448.27
  5. Step 5: Solve for x
    x = 4,314,448.27/1,012.13
  6. Step 6: Final answer
    x = 4,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.