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Finding the Third Proportional to 2,094.25 and 4,512.25

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Solution

The third proportional to 2,094.25 and 4,512.25 is: 9,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.25 : 4,512.25 = 4,512.25 : x
  2. Step 2: Convert to fraction form
    2,094.25/4,512.25 = 4,512.25/x
  3. Step 3: Cross multiply
    2,094.25x = 4,512.25 × 4,512.25
  4. Step 4: Simplify right side
    2,094.25x = 20,360,400.06
  5. Step 5: Solve for x
    x = 20,360,400.06/2,094.25
  6. Step 6: Final answer
    x = 9,722.05

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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.