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Finding the Third Proportional to 33,215 and 49,349.38

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Solution

The third proportional to 33,215 and 49,349.38 is: 73,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215 : 49,349.38 = 49,349.38 : x
  2. Step 2: Convert to fraction form
    33,215/49,349.38 = 49,349.38/x
  3. Step 3: Cross multiply
    33,215x = 49,349.38 × 49,349.38
  4. Step 4: Simplify right side
    33,215x = 2,435,360,812.89
  5. Step 5: Solve for x
    x = 2,435,360,812.89/33,215
  6. Step 6: Final answer
    x = 73,321.11

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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.