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Finding the Third Proportional to 28,612 and 44,302

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Solution

The third proportional to 28,612 and 44,302 is: 68,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,612 : 44,302 = 44,302 : x
  2. Step 2: Convert to fraction form
    28,612/44,302 = 44,302/x
  3. Step 3: Cross multiply
    28,612x = 44,302 × 44,302
  4. Step 4: Simplify right side
    28,612x = 1,962,667,204
  5. Step 5: Solve for x
    x = 1,962,667,204/28,612
  6. Step 6: Final answer
    x = 68,595.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.