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Finding the Third Proportional to 19,041.75 and 35,694

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Solution

The third proportional to 19,041.75 and 35,694 is: 66,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,041.75 : 35,694 = 35,694 : x
  2. Step 2: Convert to fraction form
    19,041.75/35,694 = 35,694/x
  3. Step 3: Cross multiply
    19,041.75x = 35,694 × 35,694
  4. Step 4: Simplify right side
    19,041.75x = 1,274,061,636
  5. Step 5: Solve for x
    x = 1,274,061,636/19,041.75
  6. Step 6: Final answer
    x = 66,908.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.