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Finding the Third Proportional to 9,080.25 and 14,022.75

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Solution

The third proportional to 9,080.25 and 14,022.75 is: 21,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.25 : 14,022.75 = 14,022.75 : x
  2. Step 2: Convert to fraction form
    9,080.25/14,022.75 = 14,022.75/x
  3. Step 3: Cross multiply
    9,080.25x = 14,022.75 × 14,022.75
  4. Step 4: Simplify right side
    9,080.25x = 196,637,517.56
  5. Step 5: Solve for x
    x = 196,637,517.56/9,080.25
  6. Step 6: Final answer
    x = 21,655.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.