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Finding the Third Proportional to 41,678 and 56,624

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Solution

The third proportional to 41,678 and 56,624 is: 76,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 56,624 = 56,624 : x
  2. Step 2: Convert to fraction form
    41,678/56,624 = 56,624/x
  3. Step 3: Cross multiply
    41,678x = 56,624 × 56,624
  4. Step 4: Simplify right side
    41,678x = 3,206,277,376
  5. Step 5: Solve for x
    x = 3,206,277,376/41,678
  6. Step 6: Final answer
    x = 76,929.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.