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Finding the Third Proportional to 33,706 and 51,023

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Solution

The third proportional to 33,706 and 51,023 is: 77,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706 : 51,023 = 51,023 : x
  2. Step 2: Convert to fraction form
    33,706/51,023 = 51,023/x
  3. Step 3: Cross multiply
    33,706x = 51,023 × 51,023
  4. Step 4: Simplify right side
    33,706x = 2,603,346,529
  5. Step 5: Solve for x
    x = 2,603,346,529/33,706
  6. Step 6: Final answer
    x = 77,236.89

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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.