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Finding the Third Proportional to 3,251.25 and 4,307.63

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Solution

The third proportional to 3,251.25 and 4,307.63 is: 5,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.25 : 4,307.63 = 4,307.63 : x
  2. Step 2: Convert to fraction form
    3,251.25/4,307.63 = 4,307.63/x
  3. Step 3: Cross multiply
    3,251.25x = 4,307.63 × 4,307.63
  4. Step 4: Simplify right side
    3,251.25x = 18,555,633.14
  5. Step 5: Solve for x
    x = 18,555,633.14/3,251.25
  6. Step 6: Final answer
    x = 5,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.