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Finding the Third Proportional to 10,968 and 17,976

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Solution

The third proportional to 10,968 and 17,976 is: 29,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 17,976 = 17,976 : x
  2. Step 2: Convert to fraction form
    10,968/17,976 = 17,976/x
  3. Step 3: Cross multiply
    10,968x = 17,976 × 17,976
  4. Step 4: Simplify right side
    10,968x = 323,136,576
  5. Step 5: Solve for x
    x = 323,136,576/10,968
  6. Step 6: Final answer
    x = 29,461.76

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.