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Finding the Third Proportional to 3,969.63 and 8,631.25

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Solution

The third proportional to 3,969.63 and 8,631.25 is: 18,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.63 : 8,631.25 = 8,631.25 : x
  2. Step 2: Convert to fraction form
    3,969.63/8,631.25 = 8,631.25/x
  3. Step 3: Cross multiply
    3,969.63x = 8,631.25 × 8,631.25
  4. Step 4: Simplify right side
    3,969.63x = 74,498,409.13
  5. Step 5: Solve for x
    x = 74,498,409.13/3,969.63
  6. Step 6: Final answer
    x = 18,767.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.