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Finding the Third Proportional to 35,347 and 74,825

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Solution

The third proportional to 35,347 and 74,825 is: 158,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347 : 74,825 = 74,825 : x
  2. Step 2: Convert to fraction form
    35,347/74,825 = 74,825/x
  3. Step 3: Cross multiply
    35,347x = 74,825 × 74,825
  4. Step 4: Simplify right side
    35,347x = 5,598,780,625
  5. Step 5: Solve for x
    x = 5,598,780,625/35,347
  6. Step 6: Final answer
    x = 158,394.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.