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Finding the Third Proportional to 1,107.26 and 2,302.80

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Solution

The third proportional to 1,107.26 and 2,302.80 is: 4,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.26 : 2,302.80 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    1,107.26/2,302.80 = 2,302.80/x
  3. Step 3: Cross multiply
    1,107.26x = 2,302.80 × 2,302.80
  4. Step 4: Simplify right side
    1,107.26x = 5,302,909.43
  5. Step 5: Solve for x
    x = 5,302,909.43/1,107.26
  6. Step 6: Final answer
    x = 4,789.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.