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Finding the Third Proportional to 33,407 and 51,717

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Solution

The third proportional to 33,407 and 51,717 is: 80,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407 : 51,717 = 51,717 : x
  2. Step 2: Convert to fraction form
    33,407/51,717 = 51,717/x
  3. Step 3: Cross multiply
    33,407x = 51,717 × 51,717
  4. Step 4: Simplify right side
    33,407x = 2,674,648,089
  5. Step 5: Solve for x
    x = 2,674,648,089/33,407
  6. Step 6: Final answer
    x = 80,062.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.