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Finding the Third Proportional to 10,908 and 17,406

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Solution

The third proportional to 10,908 and 17,406 is: 27,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 17,406 = 17,406 : x
  2. Step 2: Convert to fraction form
    10,908/17,406 = 17,406/x
  3. Step 3: Cross multiply
    10,908x = 17,406 × 17,406
  4. Step 4: Simplify right side
    10,908x = 302,968,836
  5. Step 5: Solve for x
    x = 302,968,836/10,908
  6. Step 6: Final answer
    x = 27,774.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.