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Finding the Third Proportional to 18,129.38 and 38,436.75

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Solution

The third proportional to 18,129.38 and 38,436.75 is: 81,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.38 : 38,436.75 = 38,436.75 : x
  2. Step 2: Convert to fraction form
    18,129.38/38,436.75 = 38,436.75/x
  3. Step 3: Cross multiply
    18,129.38x = 38,436.75 × 38,436.75
  4. Step 4: Simplify right side
    18,129.38x = 1,477,383,750.56
  5. Step 5: Solve for x
    x = 1,477,383,750.56/18,129.38
  6. Step 6: Final answer
    x = 81,491.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.