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Finding the Third Proportional to 16,810 and 26,369

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Solution

The third proportional to 16,810 and 26,369 is: 41,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810 : 26,369 = 26,369 : x
  2. Step 2: Convert to fraction form
    16,810/26,369 = 26,369/x
  3. Step 3: Cross multiply
    16,810x = 26,369 × 26,369
  4. Step 4: Simplify right side
    16,810x = 695,324,161
  5. Step 5: Solve for x
    x = 695,324,161/16,810
  6. Step 6: Final answer
    x = 41,363.72

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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.