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Finding the Third Proportional to 7,502.06 and 18,002.81

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Solution

The third proportional to 7,502.06 and 18,002.81 is: 43,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.06 : 18,002.81 = 18,002.81 : x
  2. Step 2: Convert to fraction form
    7,502.06/18,002.81 = 18,002.81/x
  3. Step 3: Cross multiply
    7,502.06x = 18,002.81 × 18,002.81
  4. Step 4: Simplify right side
    7,502.06x = 324,101,257.91
  5. Step 5: Solve for x
    x = 324,101,257.91/7,502.06
  6. Step 6: Final answer
    x = 43,201.62

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.