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Finding the Third Proportional to 39,921.75 and 66,532.38

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Solution

The third proportional to 39,921.75 and 66,532.38 is: 110,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,921.75 : 66,532.38 = 66,532.38 : x
  2. Step 2: Convert to fraction form
    39,921.75/66,532.38 = 66,532.38/x
  3. Step 3: Cross multiply
    39,921.75x = 66,532.38 × 66,532.38
  4. Step 4: Simplify right side
    39,921.75x = 4,426,556,923.14
  5. Step 5: Solve for x
    x = 4,426,556,923.14/39,921.75
  6. Step 6: Final answer
    x = 110,880.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.