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Finding the Third Proportional to 1,033.13 and 2,296.88

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Solution

The third proportional to 1,033.13 and 2,296.88 is: 5,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.13 : 2,296.88 = 2,296.88 : x
  2. Step 2: Convert to fraction form
    1,033.13/2,296.88 = 2,296.88/x
  3. Step 3: Cross multiply
    1,033.13x = 2,296.88 × 2,296.88
  4. Step 4: Simplify right side
    1,033.13x = 5,275,634.77
  5. Step 5: Solve for x
    x = 5,275,634.77/1,033.13
  6. Step 6: Final answer
    x = 5,106.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.