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Finding the Third Proportional to 25,108 and 36,894

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Solution

The third proportional to 25,108 and 36,894 is: 54,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 36,894 = 36,894 : x
  2. Step 2: Convert to fraction form
    25,108/36,894 = 36,894/x
  3. Step 3: Cross multiply
    25,108x = 36,894 × 36,894
  4. Step 4: Simplify right side
    25,108x = 1,361,167,236
  5. Step 5: Solve for x
    x = 1,361,167,236/25,108
  6. Step 6: Final answer
    x = 54,212.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.