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Finding the Third Proportional to 2,016.25 and 4,341.46

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Solution

The third proportional to 2,016.25 and 4,341.46 is: 9,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.25 : 4,341.46 = 4,341.46 : x
  2. Step 2: Convert to fraction form
    2,016.25/4,341.46 = 4,341.46/x
  3. Step 3: Cross multiply
    2,016.25x = 4,341.46 × 4,341.46
  4. Step 4: Simplify right side
    2,016.25x = 18,848,300.03
  5. Step 5: Solve for x
    x = 18,848,300.03/2,016.25
  6. Step 6: Final answer
    x = 9,348.21

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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.