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Finding the Third Proportional to 2,551.50 and 6,228.14

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Solution

The third proportional to 2,551.50 and 6,228.14 is: 15,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.50 : 6,228.14 = 6,228.14 : x
  2. Step 2: Convert to fraction form
    2,551.50/6,228.14 = 6,228.14/x
  3. Step 3: Cross multiply
    2,551.50x = 6,228.14 × 6,228.14
  4. Step 4: Simplify right side
    2,551.50x = 38,789,735.64
  5. Step 5: Solve for x
    x = 38,789,735.64/2,551.50
  6. Step 6: Final answer
    x = 15,202.72

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.