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Finding the Third Proportional to 9,724.22 and 20,486.25

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Solution

The third proportional to 9,724.22 and 20,486.25 is: 43,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.22 : 20,486.25 = 20,486.25 : x
  2. Step 2: Convert to fraction form
    9,724.22/20,486.25 = 20,486.25/x
  3. Step 3: Cross multiply
    9,724.22x = 20,486.25 × 20,486.25
  4. Step 4: Simplify right side
    9,724.22x = 419,686,439.06
  5. Step 5: Solve for x
    x = 419,686,439.06/9,724.22
  6. Step 6: Final answer
    x = 43,158.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.