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Finding the Third Proportional to 49,769 and 74,471

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Solution

The third proportional to 49,769 and 74,471 is: 111,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,769 : 74,471 = 74,471 : x
  2. Step 2: Convert to fraction form
    49,769/74,471 = 74,471/x
  3. Step 3: Cross multiply
    49,769x = 74,471 × 74,471
  4. Step 4: Simplify right side
    49,769x = 5,545,929,841
  5. Step 5: Solve for x
    x = 5,545,929,841/49,769
  6. Step 6: Final answer
    x = 111,433.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.