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Finding the Third Proportional to 9,158.06 and 20,033.26

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Solution

The third proportional to 9,158.06 and 20,033.26 is: 43,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.06 : 20,033.26 = 20,033.26 : x
  2. Step 2: Convert to fraction form
    9,158.06/20,033.26 = 20,033.26/x
  3. Step 3: Cross multiply
    9,158.06x = 20,033.26 × 20,033.26
  4. Step 4: Simplify right side
    9,158.06x = 401,331,575.09
  5. Step 5: Solve for x
    x = 401,331,575.09/9,158.06
  6. Step 6: Final answer
    x = 43,822.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.