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Finding the Third Proportional to 32,989.78 and 68,428.55

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Solution

The third proportional to 32,989.78 and 68,428.55 is: 141,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.78 : 68,428.55 = 68,428.55 : x
  2. Step 2: Convert to fraction form
    32,989.78/68,428.55 = 68,428.55/x
  3. Step 3: Cross multiply
    32,989.78x = 68,428.55 × 68,428.55
  4. Step 4: Simplify right side
    32,989.78x = 4,682,466,027.42
  5. Step 5: Solve for x
    x = 4,682,466,027.42/32,989.78
  6. Step 6: Final answer
    x = 141,936.86

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.