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Finding the Third Proportional to 34,805 and 52,694

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Solution

The third proportional to 34,805 and 52,694 is: 79,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805 : 52,694 = 52,694 : x
  2. Step 2: Convert to fraction form
    34,805/52,694 = 52,694/x
  3. Step 3: Cross multiply
    34,805x = 52,694 × 52,694
  4. Step 4: Simplify right side
    34,805x = 2,776,657,636
  5. Step 5: Solve for x
    x = 2,776,657,636/34,805
  6. Step 6: Final answer
    x = 79,777.55

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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.