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Finding the Third Proportional to 33,708 and 51,968

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Solution

The third proportional to 33,708 and 51,968 is: 80,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 51,968 = 51,968 : x
  2. Step 2: Convert to fraction form
    33,708/51,968 = 51,968/x
  3. Step 3: Cross multiply
    33,708x = 51,968 × 51,968
  4. Step 4: Simplify right side
    33,708x = 2,700,673,024
  5. Step 5: Solve for x
    x = 2,700,673,024/33,708
  6. Step 6: Final answer
    x = 80,119.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.