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Finding the Third Proportional to 5,464 and 7,698

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Solution

The third proportional to 5,464 and 7,698 is: 10,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 7,698 = 7,698 : x
  2. Step 2: Convert to fraction form
    5,464/7,698 = 7,698/x
  3. Step 3: Cross multiply
    5,464x = 7,698 × 7,698
  4. Step 4: Simplify right side
    5,464x = 59,259,204
  5. Step 5: Solve for x
    x = 59,259,204/5,464
  6. Step 6: Final answer
    x = 10,845.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.