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Finding the Third Proportional to 25,344 and 38,168

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Solution

The third proportional to 25,344 and 38,168 is: 57,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344 : 38,168 = 38,168 : x
  2. Step 2: Convert to fraction form
    25,344/38,168 = 38,168/x
  3. Step 3: Cross multiply
    25,344x = 38,168 × 38,168
  4. Step 4: Simplify right side
    25,344x = 1,456,796,224
  5. Step 5: Solve for x
    x = 1,456,796,224/25,344
  6. Step 6: Final answer
    x = 57,480.91

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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.