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Finding the Third Proportional to 7,518.38 and 16,240.13

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Solution

The third proportional to 7,518.38 and 16,240.13 is: 35,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518.38 : 16,240.13 = 16,240.13 : x
  2. Step 2: Convert to fraction form
    7,518.38/16,240.13 = 16,240.13/x
  3. Step 3: Cross multiply
    7,518.38x = 16,240.13 × 16,240.13
  4. Step 4: Simplify right side
    7,518.38x = 263,741,660.02
  5. Step 5: Solve for x
    x = 263,741,660.02/7,518.38
  6. Step 6: Final answer
    x = 35,079.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.