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Finding the Third Proportional to 1,182.75 and 1,282.13

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Solution

The third proportional to 1,182.75 and 1,282.13 is: 1,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.75 : 1,282.13 = 1,282.13 : x
  2. Step 2: Convert to fraction form
    1,182.75/1,282.13 = 1,282.13/x
  3. Step 3: Cross multiply
    1,182.75x = 1,282.13 × 1,282.13
  4. Step 4: Simplify right side
    1,182.75x = 1,643,844.52
  5. Step 5: Solve for x
    x = 1,643,844.52/1,182.75
  6. Step 6: Final answer
    x = 1,389.85

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.