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Finding the Third Proportional to 22,641.75 and 43,230.38

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Solution

The third proportional to 22,641.75 and 43,230.38 is: 82,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.75 : 43,230.38 = 43,230.38 : x
  2. Step 2: Convert to fraction form
    22,641.75/43,230.38 = 43,230.38/x
  3. Step 3: Cross multiply
    22,641.75x = 43,230.38 × 43,230.38
  4. Step 4: Simplify right side
    22,641.75x = 1,868,865,322.64
  5. Step 5: Solve for x
    x = 1,868,865,322.64/22,641.75
  6. Step 6: Final answer
    x = 82,540.67

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.