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Finding the Third Proportional to 22,660 and 48,966

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Solution

The third proportional to 22,660 and 48,966 is: 105,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660 : 48,966 = 48,966 : x
  2. Step 2: Convert to fraction form
    22,660/48,966 = 48,966/x
  3. Step 3: Cross multiply
    22,660x = 48,966 × 48,966
  4. Step 4: Simplify right side
    22,660x = 2,397,669,156
  5. Step 5: Solve for x
    x = 2,397,669,156/22,660
  6. Step 6: Final answer
    x = 105,810.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.