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Finding the Third Proportional to 23,912 and 52,261

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Solution

The third proportional to 23,912 and 52,261 is: 114,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912 : 52,261 = 52,261 : x
  2. Step 2: Convert to fraction form
    23,912/52,261 = 52,261/x
  3. Step 3: Cross multiply
    23,912x = 52,261 × 52,261
  4. Step 4: Simplify right side
    23,912x = 2,731,212,121
  5. Step 5: Solve for x
    x = 2,731,212,121/23,912
  6. Step 6: Final answer
    x = 114,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.