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Finding the Third Proportional to 25,338 and 38,159

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Solution

The third proportional to 25,338 and 38,159 is: 57,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338 : 38,159 = 38,159 : x
  2. Step 2: Convert to fraction form
    25,338/38,159 = 38,159/x
  3. Step 3: Cross multiply
    25,338x = 38,159 × 38,159
  4. Step 4: Simplify right side
    25,338x = 1,456,109,281
  5. Step 5: Solve for x
    x = 1,456,109,281/25,338
  6. Step 6: Final answer
    x = 57,467.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.