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Finding the Third Proportional to 8,499.94 and 18,697.71

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Solution

The third proportional to 8,499.94 and 18,697.71 is: 41,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.94 : 18,697.71 = 18,697.71 : x
  2. Step 2: Convert to fraction form
    8,499.94/18,697.71 = 18,697.71/x
  3. Step 3: Cross multiply
    8,499.94x = 18,697.71 × 18,697.71
  4. Step 4: Simplify right side
    8,499.94x = 349,604,394.30
  5. Step 5: Solve for x
    x = 349,604,394.30/8,499.94
  6. Step 6: Final answer
    x = 41,130.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.