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Finding the Third Proportional to 23,450 and 55,324

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Solution

The third proportional to 23,450 and 55,324 is: 130,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,450 : 55,324 = 55,324 : x
  2. Step 2: Convert to fraction form
    23,450/55,324 = 55,324/x
  3. Step 3: Cross multiply
    23,450x = 55,324 × 55,324
  4. Step 4: Simplify right side
    23,450x = 3,060,744,976
  5. Step 5: Solve for x
    x = 3,060,744,976/23,450
  6. Step 6: Final answer
    x = 130,522.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.