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Finding the Third Proportional to 6,563 and 10,938

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Solution

The third proportional to 6,563 and 10,938 is: 18,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563 : 10,938 = 10,938 : x
  2. Step 2: Convert to fraction form
    6,563/10,938 = 10,938/x
  3. Step 3: Cross multiply
    6,563x = 10,938 × 10,938
  4. Step 4: Simplify right side
    6,563x = 119,639,844
  5. Step 5: Solve for x
    x = 119,639,844/6,563
  6. Step 6: Final answer
    x = 18,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.