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Finding the Third Proportional to 38,166.19 and 54,173.81

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Solution

The third proportional to 38,166.19 and 54,173.81 is: 76,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.19 : 54,173.81 = 54,173.81 : x
  2. Step 2: Convert to fraction form
    38,166.19/54,173.81 = 54,173.81/x
  3. Step 3: Cross multiply
    38,166.19x = 54,173.81 × 54,173.81
  4. Step 4: Simplify right side
    38,166.19x = 2,934,801,960.79
  5. Step 5: Solve for x
    x = 2,934,801,960.79/38,166.19
  6. Step 6: Final answer
    x = 76,895.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.