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Finding the Third Proportional to 25,039 and 58,223

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Solution

The third proportional to 25,039 and 58,223 is: 135,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,039 : 58,223 = 58,223 : x
  2. Step 2: Convert to fraction form
    25,039/58,223 = 58,223/x
  3. Step 3: Cross multiply
    25,039x = 58,223 × 58,223
  4. Step 4: Simplify right side
    25,039x = 3,389,917,729
  5. Step 5: Solve for x
    x = 3,389,917,729/25,039
  6. Step 6: Final answer
    x = 135,385.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.