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Finding the Third Proportional to 23,840 and 51,334

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Solution

The third proportional to 23,840 and 51,334 is: 110,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840 : 51,334 = 51,334 : x
  2. Step 2: Convert to fraction form
    23,840/51,334 = 51,334/x
  3. Step 3: Cross multiply
    23,840x = 51,334 × 51,334
  4. Step 4: Simplify right side
    23,840x = 2,635,179,556
  5. Step 5: Solve for x
    x = 2,635,179,556/23,840
  6. Step 6: Final answer
    x = 110,536.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.