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Finding the Third Proportional to 10,816.50 and 23,469

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Solution

The third proportional to 10,816.50 and 23,469 is: 50,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.50 : 23,469 = 23,469 : x
  2. Step 2: Convert to fraction form
    10,816.50/23,469 = 23,469/x
  3. Step 3: Cross multiply
    10,816.50x = 23,469 × 23,469
  4. Step 4: Simplify right side
    10,816.50x = 550,793,961
  5. Step 5: Solve for x
    x = 550,793,961/10,816.50
  6. Step 6: Final answer
    x = 50,921.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.