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Finding the Third Proportional to 4,989 and 10,968

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Solution

The third proportional to 4,989 and 10,968 is: 24,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989 : 10,968 = 10,968 : x
  2. Step 2: Convert to fraction form
    4,989/10,968 = 10,968/x
  3. Step 3: Cross multiply
    4,989x = 10,968 × 10,968
  4. Step 4: Simplify right side
    4,989x = 120,297,024
  5. Step 5: Solve for x
    x = 120,297,024/4,989
  6. Step 6: Final answer
    x = 24,112.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.