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Finding the Third Proportional to 23,368.50 and 50,505

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Solution

The third proportional to 23,368.50 and 50,505 is: 109,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368.50 : 50,505 = 50,505 : x
  2. Step 2: Convert to fraction form
    23,368.50/50,505 = 50,505/x
  3. Step 3: Cross multiply
    23,368.50x = 50,505 × 50,505
  4. Step 4: Simplify right side
    23,368.50x = 2,550,755,025
  5. Step 5: Solve for x
    x = 2,550,755,025/23,368.50
  6. Step 6: Final answer
    x = 109,153.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.