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Finding the Third Proportional to 22,317.50 and 33,705

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Solution

The third proportional to 22,317.50 and 33,705 is: 50,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,317.50 : 33,705 = 33,705 : x
  2. Step 2: Convert to fraction form
    22,317.50/33,705 = 33,705/x
  3. Step 3: Cross multiply
    22,317.50x = 33,705 × 33,705
  4. Step 4: Simplify right side
    22,317.50x = 1,136,027,025
  5. Step 5: Solve for x
    x = 1,136,027,025/22,317.50
  6. Step 6: Final answer
    x = 50,902.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.