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Finding the Third Proportional to 25,384 and 36,892

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Solution

The third proportional to 25,384 and 36,892 is: 53,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384 : 36,892 = 36,892 : x
  2. Step 2: Convert to fraction form
    25,384/36,892 = 36,892/x
  3. Step 3: Cross multiply
    25,384x = 36,892 × 36,892
  4. Step 4: Simplify right side
    25,384x = 1,361,019,664
  5. Step 5: Solve for x
    x = 1,361,019,664/25,384
  6. Step 6: Final answer
    x = 53,617.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.