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Finding the Third Proportional to 38,012 and 87,988

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Solution

The third proportional to 38,012 and 87,988 is: 203,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012 : 87,988 = 87,988 : x
  2. Step 2: Convert to fraction form
    38,012/87,988 = 87,988/x
  3. Step 3: Cross multiply
    38,012x = 87,988 × 87,988
  4. Step 4: Simplify right side
    38,012x = 7,741,888,144
  5. Step 5: Solve for x
    x = 7,741,888,144/38,012
  6. Step 6: Final answer
    x = 203,669.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.