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Finding the Third Proportional to 32,822.72 and 70,019.44

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Solution

The third proportional to 32,822.72 and 70,019.44 is: 149,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.72 : 70,019.44 = 70,019.44 : x
  2. Step 2: Convert to fraction form
    32,822.72/70,019.44 = 70,019.44/x
  3. Step 3: Cross multiply
    32,822.72x = 70,019.44 × 70,019.44
  4. Step 4: Simplify right side
    32,822.72x = 4,902,721,627.82
  5. Step 5: Solve for x
    x = 4,902,721,627.82/32,822.72
  6. Step 6: Final answer
    x = 149,369.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.