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Finding the Third Proportional to 5,422 and 6,313

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Solution

The third proportional to 5,422 and 6,313 is: 7,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 6,313 = 6,313 : x
  2. Step 2: Convert to fraction form
    5,422/6,313 = 6,313/x
  3. Step 3: Cross multiply
    5,422x = 6,313 × 6,313
  4. Step 4: Simplify right side
    5,422x = 39,853,969
  5. Step 5: Solve for x
    x = 39,853,969/5,422
  6. Step 6: Final answer
    x = 7,350.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.