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Finding the Third Proportional to 25,908 and 41,197

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Solution

The third proportional to 25,908 and 41,197 is: 65,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,908 : 41,197 = 41,197 : x
  2. Step 2: Convert to fraction form
    25,908/41,197 = 41,197/x
  3. Step 3: Cross multiply
    25,908x = 41,197 × 41,197
  4. Step 4: Simplify right side
    25,908x = 1,697,192,809
  5. Step 5: Solve for x
    x = 1,697,192,809/25,908
  6. Step 6: Final answer
    x = 65,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.