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Finding the Third Proportional to 8,601.19 and 14,197.78

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Solution

The third proportional to 8,601.19 and 14,197.78 is: 23,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.19 : 14,197.78 = 14,197.78 : x
  2. Step 2: Convert to fraction form
    8,601.19/14,197.78 = 14,197.78/x
  3. Step 3: Cross multiply
    8,601.19x = 14,197.78 × 14,197.78
  4. Step 4: Simplify right side
    8,601.19x = 201,576,992.42
  5. Step 5: Solve for x
    x = 201,576,992.42/8,601.19
  6. Step 6: Final answer
    x = 23,435.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.