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Finding the Third Proportional to 902.81 and 2,419.03

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Solution

The third proportional to 902.81 and 2,419.03 is: 6,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.81 : 2,419.03 = 2,419.03 : x
  2. Step 2: Convert to fraction form
    902.81/2,419.03 = 2,419.03/x
  3. Step 3: Cross multiply
    902.81x = 2,419.03 × 2,419.03
  4. Step 4: Simplify right side
    902.81x = 5,851,712.19
  5. Step 5: Solve for x
    x = 5,851,712.19/902.81
  6. Step 6: Final answer
    x = 6,481.65

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.