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Finding the Third Proportional to 9,665.44 and 20,475.84

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Solution

The third proportional to 9,665.44 and 20,475.84 is: 43,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.44 : 20,475.84 = 20,475.84 : x
  2. Step 2: Convert to fraction form
    9,665.44/20,475.84 = 20,475.84/x
  3. Step 3: Cross multiply
    9,665.44x = 20,475.84 × 20,475.84
  4. Step 4: Simplify right side
    9,665.44x = 419,260,177.27
  5. Step 5: Solve for x
    x = 419,260,177.27/9,665.44
  6. Step 6: Final answer
    x = 43,377.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.