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Finding the Third Proportional to 10,772 and 23,660

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Solution

The third proportional to 10,772 and 23,660 is: 51,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772 : 23,660 = 23,660 : x
  2. Step 2: Convert to fraction form
    10,772/23,660 = 23,660/x
  3. Step 3: Cross multiply
    10,772x = 23,660 × 23,660
  4. Step 4: Simplify right side
    10,772x = 559,795,600
  5. Step 5: Solve for x
    x = 559,795,600/10,772
  6. Step 6: Final answer
    x = 51,967.66

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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.