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Finding the Third Proportional to 23,965 and 51,399

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Solution

The third proportional to 23,965 and 51,399 is: 110,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965 : 51,399 = 51,399 : x
  2. Step 2: Convert to fraction form
    23,965/51,399 = 51,399/x
  3. Step 3: Cross multiply
    23,965x = 51,399 × 51,399
  4. Step 4: Simplify right side
    23,965x = 2,641,857,201
  5. Step 5: Solve for x
    x = 2,641,857,201/23,965
  6. Step 6: Final answer
    x = 110,238.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.