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Finding the Third Proportional to 7,660 and 16,968

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Solution

The third proportional to 7,660 and 16,968 is: 37,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660 : 16,968 = 16,968 : x
  2. Step 2: Convert to fraction form
    7,660/16,968 = 16,968/x
  3. Step 3: Cross multiply
    7,660x = 16,968 × 16,968
  4. Step 4: Simplify right side
    7,660x = 287,913,024
  5. Step 5: Solve for x
    x = 287,913,024/7,660
  6. Step 6: Final answer
    x = 37,586.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.