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Finding the Third Proportional to 35,427 and 76,767

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Solution

The third proportional to 35,427 and 76,767 is: 166,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,427 : 76,767 = 76,767 : x
  2. Step 2: Convert to fraction form
    35,427/76,767 = 76,767/x
  3. Step 3: Cross multiply
    35,427x = 76,767 × 76,767
  4. Step 4: Simplify right side
    35,427x = 5,893,172,289
  5. Step 5: Solve for x
    x = 5,893,172,289/35,427
  6. Step 6: Final answer
    x = 166,346.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.