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Finding the Third Proportional to 7,282.01 and 10,930.23

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Solution

The third proportional to 7,282.01 and 10,930.23 is: 16,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.01 : 10,930.23 = 10,930.23 : x
  2. Step 2: Convert to fraction form
    7,282.01/10,930.23 = 10,930.23/x
  3. Step 3: Cross multiply
    7,282.01x = 10,930.23 × 10,930.23
  4. Step 4: Simplify right side
    7,282.01x = 119,469,883.06
  5. Step 5: Solve for x
    x = 119,469,883.06/7,282.01
  6. Step 6: Final answer
    x = 16,406.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.