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Finding the Third Proportional to 33,414 and 49,028

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Solution

The third proportional to 33,414 and 49,028 is: 71,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414 : 49,028 = 49,028 : x
  2. Step 2: Convert to fraction form
    33,414/49,028 = 49,028/x
  3. Step 3: Cross multiply
    33,414x = 49,028 × 49,028
  4. Step 4: Simplify right side
    33,414x = 2,403,744,784
  5. Step 5: Solve for x
    x = 2,403,744,784/33,414
  6. Step 6: Final answer
    x = 71,938.25

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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.