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Finding the Third Proportional to 39,682.50 and 53,893.13

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Solution

The third proportional to 39,682.50 and 53,893.13 is: 73,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682.50 : 53,893.13 = 53,893.13 : x
  2. Step 2: Convert to fraction form
    39,682.50/53,893.13 = 53,893.13/x
  3. Step 3: Cross multiply
    39,682.50x = 53,893.13 × 53,893.13
  4. Step 4: Simplify right side
    39,682.50x = 2,904,468,922.27
  5. Step 5: Solve for x
    x = 2,904,468,922.27/39,682.50
  6. Step 6: Final answer
    x = 73,192.69

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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.