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Finding the Third Proportional to 1,982.25 and 4,254.75

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Solution

The third proportional to 1,982.25 and 4,254.75 is: 9,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.25 : 4,254.75 = 4,254.75 : x
  2. Step 2: Convert to fraction form
    1,982.25/4,254.75 = 4,254.75/x
  3. Step 3: Cross multiply
    1,982.25x = 4,254.75 × 4,254.75
  4. Step 4: Simplify right side
    1,982.25x = 18,102,897.56
  5. Step 5: Solve for x
    x = 18,102,897.56/1,982.25
  6. Step 6: Final answer
    x = 9,132.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.