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Finding the Third Proportional to 33,428 and 49,974

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Solution

The third proportional to 33,428 and 49,974 is: 74,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 49,974 = 49,974 : x
  2. Step 2: Convert to fraction form
    33,428/49,974 = 49,974/x
  3. Step 3: Cross multiply
    33,428x = 49,974 × 49,974
  4. Step 4: Simplify right side
    33,428x = 2,497,400,676
  5. Step 5: Solve for x
    x = 2,497,400,676/33,428
  6. Step 6: Final answer
    x = 74,709.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.