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Finding the Third Proportional to 1,208.25 and 1,842.75

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Solution

The third proportional to 1,208.25 and 1,842.75 is: 2,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.25 : 1,842.75 = 1,842.75 : x
  2. Step 2: Convert to fraction form
    1,208.25/1,842.75 = 1,842.75/x
  3. Step 3: Cross multiply
    1,208.25x = 1,842.75 × 1,842.75
  4. Step 4: Simplify right side
    1,208.25x = 3,395,727.56
  5. Step 5: Solve for x
    x = 3,395,727.56/1,208.25
  6. Step 6: Final answer
    x = 2,810.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.