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Finding the Third Proportional to 12,183.75 and 28,711.13

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Solution

The third proportional to 12,183.75 and 28,711.13 is: 67,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.75 : 28,711.13 = 28,711.13 : x
  2. Step 2: Convert to fraction form
    12,183.75/28,711.13 = 28,711.13/x
  3. Step 3: Cross multiply
    12,183.75x = 28,711.13 × 28,711.13
  4. Step 4: Simplify right side
    12,183.75x = 824,328,698.77
  5. Step 5: Solve for x
    x = 824,328,698.77/12,183.75
  6. Step 6: Final answer
    x = 67,658.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.