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Finding the Third Proportional to 7,746 and 10,968

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Solution

The third proportional to 7,746 and 10,968 is: 15,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 10,968 = 10,968 : x
  2. Step 2: Convert to fraction form
    7,746/10,968 = 10,968/x
  3. Step 3: Cross multiply
    7,746x = 10,968 × 10,968
  4. Step 4: Simplify right side
    7,746x = 120,297,024
  5. Step 5: Solve for x
    x = 120,297,024/7,746
  6. Step 6: Final answer
    x = 15,530.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.