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Finding the Third Proportional to 4,286.25 and 5,785.88

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Solution

The third proportional to 4,286.25 and 5,785.88 is: 7,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.25 : 5,785.88 = 5,785.88 : x
  2. Step 2: Convert to fraction form
    4,286.25/5,785.88 = 5,785.88/x
  3. Step 3: Cross multiply
    4,286.25x = 5,785.88 × 5,785.88
  4. Step 4: Simplify right side
    4,286.25x = 33,476,349.52
  5. Step 5: Solve for x
    x = 33,476,349.52/4,286.25
  6. Step 6: Final answer
    x = 7,810.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.