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Finding the Third Proportional to 19,512.14 and 32,053.22

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Solution

The third proportional to 19,512.14 and 32,053.22 is: 52,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.14 : 32,053.22 = 32,053.22 : x
  2. Step 2: Convert to fraction form
    19,512.14/32,053.22 = 32,053.22/x
  3. Step 3: Cross multiply
    19,512.14x = 32,053.22 × 32,053.22
  4. Step 4: Simplify right side
    19,512.14x = 1,027,408,832.24
  5. Step 5: Solve for x
    x = 1,027,408,832.24/19,512.14
  6. Step 6: Final answer
    x = 52,654.85

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.