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Finding the Third Proportional to 39,923 and 66,534.50

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Solution

The third proportional to 39,923 and 66,534.50 is: 110,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923 : 66,534.50 = 66,534.50 : x
  2. Step 2: Convert to fraction form
    39,923/66,534.50 = 66,534.50/x
  3. Step 3: Cross multiply
    39,923x = 66,534.50 × 66,534.50
  4. Step 4: Simplify right side
    39,923x = 4,426,839,690.25
  5. Step 5: Solve for x
    x = 4,426,839,690.25/39,923
  6. Step 6: Final answer
    x = 110,884.44

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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.