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Finding the Third Proportional to 9,646.25 and 20,476.75

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Solution

The third proportional to 9,646.25 and 20,476.75 is: 43,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.25 : 20,476.75 = 20,476.75 : x
  2. Step 2: Convert to fraction form
    9,646.25/20,476.75 = 20,476.75/x
  3. Step 3: Cross multiply
    9,646.25x = 20,476.75 × 20,476.75
  4. Step 4: Simplify right side
    9,646.25x = 419,297,290.56
  5. Step 5: Solve for x
    x = 419,297,290.56/9,646.25
  6. Step 6: Final answer
    x = 43,467.39

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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.