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Finding the Third Proportional to 17,005.78 and 36,614.53

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Solution

The third proportional to 17,005.78 and 36,614.53 is: 78,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.78 : 36,614.53 = 36,614.53 : x
  2. Step 2: Convert to fraction form
    17,005.78/36,614.53 = 36,614.53/x
  3. Step 3: Cross multiply
    17,005.78x = 36,614.53 × 36,614.53
  4. Step 4: Simplify right side
    17,005.78x = 1,340,623,898.66
  5. Step 5: Solve for x
    x = 1,340,623,898.66/17,005.78
  6. Step 6: Final answer
    x = 78,833.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.