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Finding the Third Proportional to 868.64 and 1,809.28

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Solution

The third proportional to 868.64 and 1,809.28 is: 3,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,809.28 = 1,809.28 : x
  2. Step 2: Convert to fraction form
    868.64/1,809.28 = 1,809.28/x
  3. Step 3: Cross multiply
    868.64x = 1,809.28 × 1,809.28
  4. Step 4: Simplify right side
    868.64x = 3,273,498.64
  5. Step 5: Solve for x
    x = 3,273,498.64/868.64
  6. Step 6: Final answer
    x = 3,768.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.