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Finding the Third Proportional to 5,192 and 11,390

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Solution

The third proportional to 5,192 and 11,390 is: 24,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 11,390 = 11,390 : x
  2. Step 2: Convert to fraction form
    5,192/11,390 = 11,390/x
  3. Step 3: Cross multiply
    5,192x = 11,390 × 11,390
  4. Step 4: Simplify right side
    5,192x = 129,732,100
  5. Step 5: Solve for x
    x = 129,732,100/5,192
  6. Step 6: Final answer
    x = 24,986.92

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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.