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Finding the Third Proportional to 33,020 and 49,810

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Solution

The third proportional to 33,020 and 49,810 is: 75,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,020 : 49,810 = 49,810 : x
  2. Step 2: Convert to fraction form
    33,020/49,810 = 49,810/x
  3. Step 3: Cross multiply
    33,020x = 49,810 × 49,810
  4. Step 4: Simplify right side
    33,020x = 2,481,036,100
  5. Step 5: Solve for x
    x = 2,481,036,100/33,020
  6. Step 6: Final answer
    x = 75,137.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.