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Finding the Third Proportional to 33,470 and 49,088

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Solution

The third proportional to 33,470 and 49,088 is: 71,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470 : 49,088 = 49,088 : x
  2. Step 2: Convert to fraction form
    33,470/49,088 = 49,088/x
  3. Step 3: Cross multiply
    33,470x = 49,088 × 49,088
  4. Step 4: Simplify right side
    33,470x = 2,409,631,744
  5. Step 5: Solve for x
    x = 2,409,631,744/33,470
  6. Step 6: Final answer
    x = 71,993.78

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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.