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Finding the Third Proportional to 884.25 and 1,569.94

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Solution

The third proportional to 884.25 and 1,569.94 is: 2,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,569.94 = 1,569.94 : x
  2. Step 2: Convert to fraction form
    884.25/1,569.94 = 1,569.94/x
  3. Step 3: Cross multiply
    884.25x = 1,569.94 × 1,569.94
  4. Step 4: Simplify right side
    884.25x = 2,464,703.75
  5. Step 5: Solve for x
    x = 2,464,703.75/884.25
  6. Step 6: Final answer
    x = 2,787.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.