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Finding the Third Proportional to 9,352.97 and 20,464.31

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Solution

The third proportional to 9,352.97 and 20,464.31 is: 44,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.97 : 20,464.31 = 20,464.31 : x
  2. Step 2: Convert to fraction form
    9,352.97/20,464.31 = 20,464.31/x
  3. Step 3: Cross multiply
    9,352.97x = 20,464.31 × 20,464.31
  4. Step 4: Simplify right side
    9,352.97x = 418,788,086.10
  5. Step 5: Solve for x
    x = 418,788,086.10/9,352.97
  6. Step 6: Final answer
    x = 44,775.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.