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Finding the Third Proportional to 9,080.25 and 18,991.50

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Solution

The third proportional to 9,080.25 and 18,991.50 is: 39,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.25 : 18,991.50 = 18,991.50 : x
  2. Step 2: Convert to fraction form
    9,080.25/18,991.50 = 18,991.50/x
  3. Step 3: Cross multiply
    9,080.25x = 18,991.50 × 18,991.50
  4. Step 4: Simplify right side
    9,080.25x = 360,677,072.25
  5. Step 5: Solve for x
    x = 360,677,072.25/9,080.25
  6. Step 6: Final answer
    x = 39,721.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.