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Finding the Third Proportional to 8,601.75 and 15,468.75

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Solution

The third proportional to 8,601.75 and 15,468.75 is: 27,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.75 : 15,468.75 = 15,468.75 : x
  2. Step 2: Convert to fraction form
    8,601.75/15,468.75 = 15,468.75/x
  3. Step 3: Cross multiply
    8,601.75x = 15,468.75 × 15,468.75
  4. Step 4: Simplify right side
    8,601.75x = 239,282,226.56
  5. Step 5: Solve for x
    x = 239,282,226.56/8,601.75
  6. Step 6: Final answer
    x = 27,817.85

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.