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Finding the Third Proportional to 4,834.85 and 10,251.76

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Solution

The third proportional to 4,834.85 and 10,251.76 is: 21,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.85 : 10,251.76 = 10,251.76 : x
  2. Step 2: Convert to fraction form
    4,834.85/10,251.76 = 10,251.76/x
  3. Step 3: Cross multiply
    4,834.85x = 10,251.76 × 10,251.76
  4. Step 4: Simplify right side
    4,834.85x = 105,098,638.99
  5. Step 5: Solve for x
    x = 105,098,638.99/4,834.85
  6. Step 6: Final answer
    x = 21,737.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.