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Finding the Third Proportional to 6,972.75 and 15,226.88

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Solution

The third proportional to 6,972.75 and 15,226.88 is: 33,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 15,226.88 = 15,226.88 : x
  2. Step 2: Convert to fraction form
    6,972.75/15,226.88 = 15,226.88/x
  3. Step 3: Cross multiply
    6,972.75x = 15,226.88 × 15,226.88
  4. Step 4: Simplify right side
    6,972.75x = 231,857,722.27
  5. Step 5: Solve for x
    x = 231,857,722.27/6,972.75
  6. Step 6: Final answer
    x = 33,251.98

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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.