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Finding the Third Proportional to 50,566 and 74,551

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Solution

The third proportional to 50,566 and 74,551 is: 109,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,566 : 74,551 = 74,551 : x
  2. Step 2: Convert to fraction form
    50,566/74,551 = 74,551/x
  3. Step 3: Cross multiply
    50,566x = 74,551 × 74,551
  4. Step 4: Simplify right side
    50,566x = 5,557,851,601
  5. Step 5: Solve for x
    x = 5,557,851,601/50,566
  6. Step 6: Final answer
    x = 109,912.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.