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Finding the Third Proportional to 43,464 and 71,917

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Solution

The third proportional to 43,464 and 71,917 is: 118,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 71,917 = 71,917 : x
  2. Step 2: Convert to fraction form
    43,464/71,917 = 71,917/x
  3. Step 3: Cross multiply
    43,464x = 71,917 × 71,917
  4. Step 4: Simplify right side
    43,464x = 5,172,054,889
  5. Step 5: Solve for x
    x = 5,172,054,889/43,464
  6. Step 6: Final answer
    x = 118,996.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.