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Finding the Third Proportional to 1,473.75 and 3,224.25

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Solution

The third proportional to 1,473.75 and 3,224.25 is: 7,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.75 : 3,224.25 = 3,224.25 : x
  2. Step 2: Convert to fraction form
    1,473.75/3,224.25 = 3,224.25/x
  3. Step 3: Cross multiply
    1,473.75x = 3,224.25 × 3,224.25
  4. Step 4: Simplify right side
    1,473.75x = 10,395,788.06
  5. Step 5: Solve for x
    x = 10,395,788.06/1,473.75
  6. Step 6: Final answer
    x = 7,053.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.