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Finding the Third Proportional to 29,858 and 71,933

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Solution

The third proportional to 29,858 and 71,933 is: 173,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858 : 71,933 = 71,933 : x
  2. Step 2: Convert to fraction form
    29,858/71,933 = 71,933/x
  3. Step 3: Cross multiply
    29,858x = 71,933 × 71,933
  4. Step 4: Simplify right side
    29,858x = 5,174,356,489
  5. Step 5: Solve for x
    x = 5,174,356,489/29,858
  6. Step 6: Final answer
    x = 173,298.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.