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Finding the Third Proportional to 822 and 938

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Solution

The third proportional to 822 and 938 is: 1,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 938 = 938 : x
  2. Step 2: Convert to fraction form
    822/938 = 938/x
  3. Step 3: Cross multiply
    822x = 938 × 938
  4. Step 4: Simplify right side
    822x = 879,844
  5. Step 5: Solve for x
    x = 879,844/822
  6. Step 6: Final answer
    x = 1,070.37

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.