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Finding the Third Proportional to 29,802 and 41,773.50

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Solution

The third proportional to 29,802 and 41,773.50 is: 58,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802 : 41,773.50 = 41,773.50 : x
  2. Step 2: Convert to fraction form
    29,802/41,773.50 = 41,773.50/x
  3. Step 3: Cross multiply
    29,802x = 41,773.50 × 41,773.50
  4. Step 4: Simplify right side
    29,802x = 1,745,025,302.25
  5. Step 5: Solve for x
    x = 1,745,025,302.25/29,802
  6. Step 6: Final answer
    x = 58,553.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.