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Finding the Third Proportional to 32,640.13 and 44,039.25

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Solution

The third proportional to 32,640.13 and 44,039.25 is: 59,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.13 : 44,039.25 = 44,039.25 : x
  2. Step 2: Convert to fraction form
    32,640.13/44,039.25 = 44,039.25/x
  3. Step 3: Cross multiply
    32,640.13x = 44,039.25 × 44,039.25
  4. Step 4: Simplify right side
    32,640.13x = 1,939,455,540.56
  5. Step 5: Solve for x
    x = 1,939,455,540.56/32,640.13
  6. Step 6: Final answer
    x = 59,419.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.