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Finding the Third Proportional to 33,146 and 51,208

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Solution

The third proportional to 33,146 and 51,208 is: 79,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146 : 51,208 = 51,208 : x
  2. Step 2: Convert to fraction form
    33,146/51,208 = 51,208/x
  3. Step 3: Cross multiply
    33,146x = 51,208 × 51,208
  4. Step 4: Simplify right side
    33,146x = 2,622,259,264
  5. Step 5: Solve for x
    x = 2,622,259,264/33,146
  6. Step 6: Final answer
    x = 79,112.39

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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.