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Finding the Third Proportional to 33,702 and 51,959

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Solution

The third proportional to 33,702 and 51,959 is: 80,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702 : 51,959 = 51,959 : x
  2. Step 2: Convert to fraction form
    33,702/51,959 = 51,959/x
  3. Step 3: Cross multiply
    33,702x = 51,959 × 51,959
  4. Step 4: Simplify right side
    33,702x = 2,699,737,681
  5. Step 5: Solve for x
    x = 2,699,737,681/33,702
  6. Step 6: Final answer
    x = 80,106.16

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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.