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Finding the Third Proportional to 17,383.99 and 23,614.66

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Solution

The third proportional to 17,383.99 and 23,614.66 is: 32,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.99 : 23,614.66 = 23,614.66 : x
  2. Step 2: Convert to fraction form
    17,383.99/23,614.66 = 23,614.66/x
  3. Step 3: Cross multiply
    17,383.99x = 23,614.66 × 23,614.66
  4. Step 4: Simplify right side
    17,383.99x = 557,652,358.78
  5. Step 5: Solve for x
    x = 557,652,358.78/17,383.99
  6. Step 6: Final answer
    x = 32,078.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.