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Finding the Third Proportional to 16,853 and 26,166

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Solution

The third proportional to 16,853 and 26,166 is: 40,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853 : 26,166 = 26,166 : x
  2. Step 2: Convert to fraction form
    16,853/26,166 = 26,166/x
  3. Step 3: Cross multiply
    16,853x = 26,166 × 26,166
  4. Step 4: Simplify right side
    16,853x = 684,659,556
  5. Step 5: Solve for x
    x = 684,659,556/16,853
  6. Step 6: Final answer
    x = 40,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.