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Finding the Third Proportional to 18,342 and 25,521

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Solution

The third proportional to 18,342 and 25,521 is: 35,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342 : 25,521 = 25,521 : x
  2. Step 2: Convert to fraction form
    18,342/25,521 = 25,521/x
  3. Step 3: Cross multiply
    18,342x = 25,521 × 25,521
  4. Step 4: Simplify right side
    18,342x = 651,321,441
  5. Step 5: Solve for x
    x = 651,321,441/18,342
  6. Step 6: Final answer
    x = 35,509.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.