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Finding the Third Proportional to 35,933 and 77,866

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Solution

The third proportional to 35,933 and 77,866 is: 168,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933 : 77,866 = 77,866 : x
  2. Step 2: Convert to fraction form
    35,933/77,866 = 77,866/x
  3. Step 3: Cross multiply
    35,933x = 77,866 × 77,866
  4. Step 4: Simplify right side
    35,933x = 6,063,113,956
  5. Step 5: Solve for x
    x = 6,063,113,956/35,933
  6. Step 6: Final answer
    x = 168,733.86

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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.