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Finding the Third Proportional to 33,126 and 49,716

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Solution

The third proportional to 33,126 and 49,716 is: 74,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,126 : 49,716 = 49,716 : x
  2. Step 2: Convert to fraction form
    33,126/49,716 = 49,716/x
  3. Step 3: Cross multiply
    33,126x = 49,716 × 49,716
  4. Step 4: Simplify right side
    33,126x = 2,471,680,656
  5. Step 5: Solve for x
    x = 2,471,680,656/33,126
  6. Step 6: Final answer
    x = 74,614.52

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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.