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Finding the Third Proportional to 8,499.94 and 18,460.69

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Solution

The third proportional to 8,499.94 and 18,460.69 is: 40,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.94 : 18,460.69 = 18,460.69 : x
  2. Step 2: Convert to fraction form
    8,499.94/18,460.69 = 18,460.69/x
  3. Step 3: Cross multiply
    8,499.94x = 18,460.69 × 18,460.69
  4. Step 4: Simplify right side
    8,499.94x = 340,796,982.97
  5. Step 5: Solve for x
    x = 340,796,982.97/8,499.94
  6. Step 6: Final answer
    x = 40,094.06

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