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Finding the Third Proportional to 8,496.14 and 18,451.13

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Solution

The third proportional to 8,496.14 and 18,451.13 is: 40,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.14 : 18,451.13 = 18,451.13 : x
  2. Step 2: Convert to fraction form
    8,496.14/18,451.13 = 18,451.13/x
  3. Step 3: Cross multiply
    8,496.14x = 18,451.13 × 18,451.13
  4. Step 4: Simplify right side
    8,496.14x = 340,444,013.77
  5. Step 5: Solve for x
    x = 340,444,013.77/8,496.14
  6. Step 6: Final answer
    x = 40,070.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.