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Finding the Third Proportional to 2,969.25 and 6,485.25

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Solution

The third proportional to 2,969.25 and 6,485.25 is: 14,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 6,485.25 = 6,485.25 : x
  2. Step 2: Convert to fraction form
    2,969.25/6,485.25 = 6,485.25/x
  3. Step 3: Cross multiply
    2,969.25x = 6,485.25 × 6,485.25
  4. Step 4: Simplify right side
    2,969.25x = 42,058,467.56
  5. Step 5: Solve for x
    x = 42,058,467.56/2,969.25
  6. Step 6: Final answer
    x = 14,164.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.