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Finding the Third Proportional to 9,431.44 and 19,477.97

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Solution

The third proportional to 9,431.44 and 19,477.97 is: 40,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.44 : 19,477.97 = 19,477.97 : x
  2. Step 2: Convert to fraction form
    9,431.44/19,477.97 = 19,477.97/x
  3. Step 3: Cross multiply
    9,431.44x = 19,477.97 × 19,477.97
  4. Step 4: Simplify right side
    9,431.44x = 379,391,266.63
  5. Step 5: Solve for x
    x = 379,391,266.63/9,431.44
  6. Step 6: Final answer
    x = 40,226.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.