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Finding the Third Proportional to 9,086.25 and 20,001.75

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Solution

The third proportional to 9,086.25 and 20,001.75 is: 44,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.25 : 20,001.75 = 20,001.75 : x
  2. Step 2: Convert to fraction form
    9,086.25/20,001.75 = 20,001.75/x
  3. Step 3: Cross multiply
    9,086.25x = 20,001.75 × 20,001.75
  4. Step 4: Simplify right side
    9,086.25x = 400,070,003.06
  5. Step 5: Solve for x
    x = 400,070,003.06/9,086.25
  6. Step 6: Final answer
    x = 44,030.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.