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Finding the Third Proportional to 947.25 and 1,982.25

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Solution

The third proportional to 947.25 and 1,982.25 is: 4,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,982.25 = 1,982.25 : x
  2. Step 2: Convert to fraction form
    947.25/1,982.25 = 1,982.25/x
  3. Step 3: Cross multiply
    947.25x = 1,982.25 × 1,982.25
  4. Step 4: Simplify right side
    947.25x = 3,929,315.06
  5. Step 5: Solve for x
    x = 3,929,315.06/947.25
  6. Step 6: Final answer
    x = 4,148.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.