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Finding the Third Proportional to 38,166.75 and 82,899

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Solution

The third proportional to 38,166.75 and 82,899 is: 180,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 82,899 = 82,899 : x
  2. Step 2: Convert to fraction form
    38,166.75/82,899 = 82,899/x
  3. Step 3: Cross multiply
    38,166.75x = 82,899 × 82,899
  4. Step 4: Simplify right side
    38,166.75x = 6,872,244,201
  5. Step 5: Solve for x
    x = 6,872,244,201/38,166.75
  6. Step 6: Final answer
    x = 180,058.41

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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.