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Finding the Third Proportional to 9,107.44 and 10,952.72

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Solution

The third proportional to 9,107.44 and 10,952.72 is: 13,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 10,952.72 = 10,952.72 : x
  2. Step 2: Convert to fraction form
    9,107.44/10,952.72 = 10,952.72/x
  3. Step 3: Cross multiply
    9,107.44x = 10,952.72 × 10,952.72
  4. Step 4: Simplify right side
    9,107.44x = 119,962,048.02
  5. Step 5: Solve for x
    x = 119,962,048.02/9,107.44
  6. Step 6: Final answer
    x = 13,171.88

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.