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Finding the Third Proportional to 2,951.75 and 6,389.25

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Solution

The third proportional to 2,951.75 and 6,389.25 is: 13,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.75 : 6,389.25 = 6,389.25 : x
  2. Step 2: Convert to fraction form
    2,951.75/6,389.25 = 6,389.25/x
  3. Step 3: Cross multiply
    2,951.75x = 6,389.25 × 6,389.25
  4. Step 4: Simplify right side
    2,951.75x = 40,822,515.56
  5. Step 5: Solve for x
    x = 40,822,515.56/2,951.75
  6. Step 6: Final answer
    x = 13,829.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.