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Finding the Third Proportional to 32,873.25 and 72,003.38

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Solution

The third proportional to 32,873.25 and 72,003.38 is: 157,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.25 : 72,003.38 = 72,003.38 : x
  2. Step 2: Convert to fraction form
    32,873.25/72,003.38 = 72,003.38/x
  3. Step 3: Cross multiply
    32,873.25x = 72,003.38 × 72,003.38
  4. Step 4: Simplify right side
    32,873.25x = 5,184,486,011.39
  5. Step 5: Solve for x
    x = 5,184,486,011.39/32,873.25
  6. Step 6: Final answer
    x = 157,711.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.