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Finding the Third Proportional to 5,778.84 and 8,694.84

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Solution

The third proportional to 5,778.84 and 8,694.84 is: 13,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 8,694.84 = 8,694.84 : x
  2. Step 2: Convert to fraction form
    5,778.84/8,694.84 = 8,694.84/x
  3. Step 3: Cross multiply
    5,778.84x = 8,694.84 × 8,694.84
  4. Step 4: Simplify right side
    5,778.84x = 75,600,307.84
  5. Step 5: Solve for x
    x = 75,600,307.84/5,778.84
  6. Step 6: Final answer
    x = 13,082.26

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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.