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Finding the Third Proportional to 2,969.25 and 6,272.25

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Solution

The third proportional to 2,969.25 and 6,272.25 is: 13,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 6,272.25 = 6,272.25 : x
  2. Step 2: Convert to fraction form
    2,969.25/6,272.25 = 6,272.25/x
  3. Step 3: Cross multiply
    2,969.25x = 6,272.25 × 6,272.25
  4. Step 4: Simplify right side
    2,969.25x = 39,341,120.06
  5. Step 5: Solve for x
    x = 39,341,120.06/2,969.25
  6. Step 6: Final answer
    x = 13,249.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.