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Finding the Third Proportional to 16,092 and 25,276

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Solution

The third proportional to 16,092 and 25,276 is: 39,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 25,276 = 25,276 : x
  2. Step 2: Convert to fraction form
    16,092/25,276 = 25,276/x
  3. Step 3: Cross multiply
    16,092x = 25,276 × 25,276
  4. Step 4: Simplify right side
    16,092x = 638,876,176
  5. Step 5: Solve for x
    x = 638,876,176/16,092
  6. Step 6: Final answer
    x = 39,701.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.