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Finding the Third Proportional to 32,961 and 72,483

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Solution

The third proportional to 32,961 and 72,483 is: 159,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961 : 72,483 = 72,483 : x
  2. Step 2: Convert to fraction form
    32,961/72,483 = 72,483/x
  3. Step 3: Cross multiply
    32,961x = 72,483 × 72,483
  4. Step 4: Simplify right side
    32,961x = 5,253,785,289
  5. Step 5: Solve for x
    x = 5,253,785,289/32,961
  6. Step 6: Final answer
    x = 159,393.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.