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Finding the Third Proportional to 23,722 and 51,341

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Solution

The third proportional to 23,722 and 51,341 is: 111,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722 : 51,341 = 51,341 : x
  2. Step 2: Convert to fraction form
    23,722/51,341 = 51,341/x
  3. Step 3: Cross multiply
    23,722x = 51,341 × 51,341
  4. Step 4: Simplify right side
    23,722x = 2,635,898,281
  5. Step 5: Solve for x
    x = 2,635,898,281/23,722
  6. Step 6: Final answer
    x = 111,116.19

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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.