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Finding the Third Proportional to 33,886 and 51,265

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Solution

The third proportional to 33,886 and 51,265 is: 77,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,886 : 51,265 = 51,265 : x
  2. Step 2: Convert to fraction form
    33,886/51,265 = 51,265/x
  3. Step 3: Cross multiply
    33,886x = 51,265 × 51,265
  4. Step 4: Simplify right side
    33,886x = 2,628,100,225
  5. Step 5: Solve for x
    x = 2,628,100,225/33,886
  6. Step 6: Final answer
    x = 77,557.11

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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.