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Finding the Third Proportional to 32,533.50 and 44,192.25

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Solution

The third proportional to 32,533.50 and 44,192.25 is: 60,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.50 : 44,192.25 = 44,192.25 : x
  2. Step 2: Convert to fraction form
    32,533.50/44,192.25 = 44,192.25/x
  3. Step 3: Cross multiply
    32,533.50x = 44,192.25 × 44,192.25
  4. Step 4: Simplify right side
    32,533.50x = 1,952,954,960.06
  5. Step 5: Solve for x
    x = 1,952,954,960.06/32,533.50
  6. Step 6: Final answer
    x = 60,029.05

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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.