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Finding the Third Proportional to 38,450.81 and 84,462.75

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Solution

The third proportional to 38,450.81 and 84,462.75 is: 185,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450.81 : 84,462.75 = 84,462.75 : x
  2. Step 2: Convert to fraction form
    38,450.81/84,462.75 = 84,462.75/x
  3. Step 3: Cross multiply
    38,450.81x = 84,462.75 × 84,462.75
  4. Step 4: Simplify right side
    38,450.81x = 7,133,956,137.56
  5. Step 5: Solve for x
    x = 7,133,956,137.56/38,450.81
  6. Step 6: Final answer
    x = 185,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.