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Finding the Third Proportional to 25,964 and 51,238

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Solution

The third proportional to 25,964 and 51,238 is: 101,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964 : 51,238 = 51,238 : x
  2. Step 2: Convert to fraction form
    25,964/51,238 = 51,238/x
  3. Step 3: Cross multiply
    25,964x = 51,238 × 51,238
  4. Step 4: Simplify right side
    25,964x = 2,625,332,644
  5. Step 5: Solve for x
    x = 2,625,332,644/25,964
  6. Step 6: Final answer
    x = 101,114.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.