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Finding the Third Proportional to 816.33 and 1,921.22

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Solution

The third proportional to 816.33 and 1,921.22 is: 4,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.33 : 1,921.22 = 1,921.22 : x
  2. Step 2: Convert to fraction form
    816.33/1,921.22 = 1,921.22/x
  3. Step 3: Cross multiply
    816.33x = 1,921.22 × 1,921.22
  4. Step 4: Simplify right side
    816.33x = 3,691,081.49
  5. Step 5: Solve for x
    x = 3,691,081.49/816.33
  6. Step 6: Final answer
    x = 4,521.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.