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Finding the Third Proportional to 38,871 and 80,509.13

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Solution

The third proportional to 38,871 and 80,509.13 is: 166,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871 : 80,509.13 = 80,509.13 : x
  2. Step 2: Convert to fraction form
    38,871/80,509.13 = 80,509.13/x
  3. Step 3: Cross multiply
    38,871x = 80,509.13 × 80,509.13
  4. Step 4: Simplify right side
    38,871x = 6,481,719,208.27
  5. Step 5: Solve for x
    x = 6,481,719,208.27/38,871
  6. Step 6: Final answer
    x = 166,749.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.