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Finding the Third Proportional to 1,965.52 and 2,867.27

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Solution

The third proportional to 1,965.52 and 2,867.27 is: 4,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.52 : 2,867.27 = 2,867.27 : x
  2. Step 2: Convert to fraction form
    1,965.52/2,867.27 = 2,867.27/x
  3. Step 3: Cross multiply
    1,965.52x = 2,867.27 × 2,867.27
  4. Step 4: Simplify right side
    1,965.52x = 8,221,256.97
  5. Step 5: Solve for x
    x = 8,221,256.97/1,965.52
  6. Step 6: Final answer
    x = 4,182.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.