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Finding the Third Proportional to 2,784 and 6,551

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Solution

The third proportional to 2,784 and 6,551 is: 15,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 6,551 = 6,551 : x
  2. Step 2: Convert to fraction form
    2,784/6,551 = 6,551/x
  3. Step 3: Cross multiply
    2,784x = 6,551 × 6,551
  4. Step 4: Simplify right side
    2,784x = 42,915,601
  5. Step 5: Solve for x
    x = 42,915,601/2,784
  6. Step 6: Final answer
    x = 15,415.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.