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Finding the Third Proportional to 33,652.88 and 52,101.75

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Solution

The third proportional to 33,652.88 and 52,101.75 is: 80,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.88 : 52,101.75 = 52,101.75 : x
  2. Step 2: Convert to fraction form
    33,652.88/52,101.75 = 52,101.75/x
  3. Step 3: Cross multiply
    33,652.88x = 52,101.75 × 52,101.75
  4. Step 4: Simplify right side
    33,652.88x = 2,714,592,353.06
  5. Step 5: Solve for x
    x = 2,714,592,353.06/33,652.88
  6. Step 6: Final answer
    x = 80,664.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.