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Finding the Third Proportional to 41,624.19 and 91,551.67

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Solution

The third proportional to 41,624.19 and 91,551.67 is: 201,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,624.19 : 91,551.67 = 91,551.67 : x
  2. Step 2: Convert to fraction form
    41,624.19/91,551.67 = 91,551.67/x
  3. Step 3: Cross multiply
    41,624.19x = 91,551.67 × 91,551.67
  4. Step 4: Simplify right side
    41,624.19x = 8,381,708,980.73
  5. Step 5: Solve for x
    x = 8,381,708,980.73/41,624.19
  6. Step 6: Final answer
    x = 201,366.29

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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.