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Finding the Third Proportional to 7,251.75 and 15,797.25

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Solution

The third proportional to 7,251.75 and 15,797.25 is: 34,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.75 : 15,797.25 = 15,797.25 : x
  2. Step 2: Convert to fraction form
    7,251.75/15,797.25 = 15,797.25/x
  3. Step 3: Cross multiply
    7,251.75x = 15,797.25 × 15,797.25
  4. Step 4: Simplify right side
    7,251.75x = 249,553,107.56
  5. Step 5: Solve for x
    x = 249,553,107.56/7,251.75
  6. Step 6: Final answer
    x = 34,412.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.