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Finding the Third Proportional to 50,764 and 74,674

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Solution

The third proportional to 50,764 and 74,674 is: 109,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,764 : 74,674 = 74,674 : x
  2. Step 2: Convert to fraction form
    50,764/74,674 = 74,674/x
  3. Step 3: Cross multiply
    50,764x = 74,674 × 74,674
  4. Step 4: Simplify right side
    50,764x = 5,576,206,276
  5. Step 5: Solve for x
    x = 5,576,206,276/50,764
  6. Step 6: Final answer
    x = 109,845.68

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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.