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Finding the Third Proportional to 5,338 and 9,614

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Solution

The third proportional to 5,338 and 9,614 is: 17,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 9,614 = 9,614 : x
  2. Step 2: Convert to fraction form
    5,338/9,614 = 9,614/x
  3. Step 3: Cross multiply
    5,338x = 9,614 × 9,614
  4. Step 4: Simplify right side
    5,338x = 92,428,996
  5. Step 5: Solve for x
    x = 92,428,996/5,338
  6. Step 6: Final answer
    x = 17,315.29

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.