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Finding the Third Proportional to 17,282.25 and 35,649

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Solution

The third proportional to 17,282.25 and 35,649 is: 73,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.25 : 35,649 = 35,649 : x
  2. Step 2: Convert to fraction form
    17,282.25/35,649 = 35,649/x
  3. Step 3: Cross multiply
    17,282.25x = 35,649 × 35,649
  4. Step 4: Simplify right side
    17,282.25x = 1,270,851,201
  5. Step 5: Solve for x
    x = 1,270,851,201/17,282.25
  6. Step 6: Final answer
    x = 73,535.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.