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Finding the Third Proportional to 43,597 and 67,339

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Solution

The third proportional to 43,597 and 67,339 is: 104,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,597 : 67,339 = 67,339 : x
  2. Step 2: Convert to fraction form
    43,597/67,339 = 67,339/x
  3. Step 3: Cross multiply
    43,597x = 67,339 × 67,339
  4. Step 4: Simplify right side
    43,597x = 4,534,540,921
  5. Step 5: Solve for x
    x = 4,534,540,921/43,597
  6. Step 6: Final answer
    x = 104,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.