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Finding the Third Proportional to 29,900 and 33,140

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Solution

The third proportional to 29,900 and 33,140 is: 36,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900 : 33,140 = 33,140 : x
  2. Step 2: Convert to fraction form
    29,900/33,140 = 33,140/x
  3. Step 3: Cross multiply
    29,900x = 33,140 × 33,140
  4. Step 4: Simplify right side
    29,900x = 1,098,259,600
  5. Step 5: Solve for x
    x = 1,098,259,600/29,900
  6. Step 6: Final answer
    x = 36,731.09

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.