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Finding the Third Proportional to 29,099.25 and 38,773.69

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Solution

The third proportional to 29,099.25 and 38,773.69 is: 51,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099.25 : 38,773.69 = 38,773.69 : x
  2. Step 2: Convert to fraction form
    29,099.25/38,773.69 = 38,773.69/x
  3. Step 3: Cross multiply
    29,099.25x = 38,773.69 × 38,773.69
  4. Step 4: Simplify right side
    29,099.25x = 1,503,398,842.35
  5. Step 5: Solve for x
    x = 1,503,398,842.35/29,099.25
  6. Step 6: Final answer
    x = 51,664.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.