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Finding the Third Proportional to 5,211.84 and 7,821.56

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Solution

The third proportional to 5,211.84 and 7,821.56 is: 11,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.84 : 7,821.56 = 7,821.56 : x
  2. Step 2: Convert to fraction form
    5,211.84/7,821.56 = 7,821.56/x
  3. Step 3: Cross multiply
    5,211.84x = 7,821.56 × 7,821.56
  4. Step 4: Simplify right side
    5,211.84x = 61,176,839.94
  5. Step 5: Solve for x
    x = 61,176,839.94/5,211.84
  6. Step 6: Final answer
    x = 11,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.