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Finding the Third Proportional to 884.20 and 1,919.32

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Solution

The third proportional to 884.20 and 1,919.32 is: 4,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.20 : 1,919.32 = 1,919.32 : x
  2. Step 2: Convert to fraction form
    884.20/1,919.32 = 1,919.32/x
  3. Step 3: Cross multiply
    884.20x = 1,919.32 × 1,919.32
  4. Step 4: Simplify right side
    884.20x = 3,683,790.46
  5. Step 5: Solve for x
    x = 3,683,790.46/884.20
  6. Step 6: Final answer
    x = 4,166.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.