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Finding the Third Proportional to 864 and 1,551

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Solution

The third proportional to 864 and 1,551 is: 2,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,551 = 1,551 : x
  2. Step 2: Convert to fraction form
    864/1,551 = 1,551/x
  3. Step 3: Cross multiply
    864x = 1,551 × 1,551
  4. Step 4: Simplify right side
    864x = 2,405,601
  5. Step 5: Solve for x
    x = 2,405,601/864
  6. Step 6: Final answer
    x = 2,784.26

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.