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Finding the Third Proportional to 25,479 and 52,092

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Solution

The third proportional to 25,479 and 52,092 is: 106,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479 : 52,092 = 52,092 : x
  2. Step 2: Convert to fraction form
    25,479/52,092 = 52,092/x
  3. Step 3: Cross multiply
    25,479x = 52,092 × 52,092
  4. Step 4: Simplify right side
    25,479x = 2,713,576,464
  5. Step 5: Solve for x
    x = 2,713,576,464/25,479
  6. Step 6: Final answer
    x = 106,502.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.