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Finding the Third Proportional to 5,778.84 and 12,663.84

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Solution

The third proportional to 5,778.84 and 12,663.84 is: 27,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 12,663.84 = 12,663.84 : x
  2. Step 2: Convert to fraction form
    5,778.84/12,663.84 = 12,663.84/x
  3. Step 3: Cross multiply
    5,778.84x = 12,663.84 × 12,663.84
  4. Step 4: Simplify right side
    5,778.84x = 160,372,938.52
  5. Step 5: Solve for x
    x = 160,372,938.52/5,778.84
  6. Step 6: Final answer
    x = 27,751.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.