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Finding the Third Proportional to 5,192 and 10,938

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Solution

The third proportional to 5,192 and 10,938 is: 23,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 10,938 = 10,938 : x
  2. Step 2: Convert to fraction form
    5,192/10,938 = 10,938/x
  3. Step 3: Cross multiply
    5,192x = 10,938 × 10,938
  4. Step 4: Simplify right side
    5,192x = 119,639,844
  5. Step 5: Solve for x
    x = 119,639,844/5,192
  6. Step 6: Final answer
    x = 23,043.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.