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Finding the Third Proportional to 9,205 and 20,081

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Solution

The third proportional to 9,205 and 20,081 is: 43,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205 : 20,081 = 20,081 : x
  2. Step 2: Convert to fraction form
    9,205/20,081 = 20,081/x
  3. Step 3: Cross multiply
    9,205x = 20,081 × 20,081
  4. Step 4: Simplify right side
    9,205x = 403,246,561
  5. Step 5: Solve for x
    x = 403,246,561/9,205
  6. Step 6: Final answer
    x = 43,807.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.