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Finding the Third Proportional to 10,608 and 13,784

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Solution

The third proportional to 10,608 and 13,784 is: 17,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608 : 13,784 = 13,784 : x
  2. Step 2: Convert to fraction form
    10,608/13,784 = 13,784/x
  3. Step 3: Cross multiply
    10,608x = 13,784 × 13,784
  4. Step 4: Simplify right side
    10,608x = 189,998,656
  5. Step 5: Solve for x
    x = 189,998,656/10,608
  6. Step 6: Final answer
    x = 17,910.88

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.