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Finding the Third Proportional to 5,192 and 7,774

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Solution

The third proportional to 5,192 and 7,774 is: 11,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,774 = 7,774 : x
  2. Step 2: Convert to fraction form
    5,192/7,774 = 7,774/x
  3. Step 3: Cross multiply
    5,192x = 7,774 × 7,774
  4. Step 4: Simplify right side
    5,192x = 60,435,076
  5. Step 5: Solve for x
    x = 60,435,076/5,192
  6. Step 6: Final answer
    x = 11,640.04

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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.