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Finding the Third Proportional to 6,470.25 and 13,863.75

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Solution

The third proportional to 6,470.25 and 13,863.75 is: 29,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.25 : 13,863.75 = 13,863.75 : x
  2. Step 2: Convert to fraction form
    6,470.25/13,863.75 = 13,863.75/x
  3. Step 3: Cross multiply
    6,470.25x = 13,863.75 × 13,863.75
  4. Step 4: Simplify right side
    6,470.25x = 192,203,564.06
  5. Step 5: Solve for x
    x = 192,203,564.06/6,470.25
  6. Step 6: Final answer
    x = 29,705.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.