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Finding the Third Proportional to 20,129.25 and 43,184.63

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Solution

The third proportional to 20,129.25 and 43,184.63 is: 92,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.25 : 43,184.63 = 43,184.63 : x
  2. Step 2: Convert to fraction form
    20,129.25/43,184.63 = 43,184.63/x
  3. Step 3: Cross multiply
    20,129.25x = 43,184.63 × 43,184.63
  4. Step 4: Simplify right side
    20,129.25x = 1,864,911,836.39
  5. Step 5: Solve for x
    x = 1,864,911,836.39/20,129.25
  6. Step 6: Final answer
    x = 92,646.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.