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Finding the Third Proportional to 20,990.50 and 29,349.75

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Solution

The third proportional to 20,990.50 and 29,349.75 is: 41,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.50 : 29,349.75 = 29,349.75 : x
  2. Step 2: Convert to fraction form
    20,990.50/29,349.75 = 29,349.75/x
  3. Step 3: Cross multiply
    20,990.50x = 29,349.75 × 29,349.75
  4. Step 4: Simplify right side
    20,990.50x = 861,407,825.06
  5. Step 5: Solve for x
    x = 861,407,825.06/20,990.50
  6. Step 6: Final answer
    x = 41,037.99

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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.