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Finding the Third Proportional to 38,485.13 and 81,327.38

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Solution

The third proportional to 38,485.13 and 81,327.38 is: 171,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.13 : 81,327.38 = 81,327.38 : x
  2. Step 2: Convert to fraction form
    38,485.13/81,327.38 = 81,327.38/x
  3. Step 3: Cross multiply
    38,485.13x = 81,327.38 × 81,327.38
  4. Step 4: Simplify right side
    38,485.13x = 6,614,141,924.39
  5. Step 5: Solve for x
    x = 6,614,141,924.39/38,485.13
  6. Step 6: Final answer
    x = 171,862.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.