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Finding the Third Proportional to 8,200 and 8,938

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Solution

The third proportional to 8,200 and 8,938 is: 9,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 8,938 = 8,938 : x
  2. Step 2: Convert to fraction form
    8,200/8,938 = 8,938/x
  3. Step 3: Cross multiply
    8,200x = 8,938 × 8,938
  4. Step 4: Simplify right side
    8,200x = 79,887,844
  5. Step 5: Solve for x
    x = 79,887,844/8,200
  6. Step 6: Final answer
    x = 9,742.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.