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Finding the Third Proportional to 16,829 and 26,401

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Solution

The third proportional to 16,829 and 26,401 is: 41,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829 : 26,401 = 26,401 : x
  2. Step 2: Convert to fraction form
    16,829/26,401 = 26,401/x
  3. Step 3: Cross multiply
    16,829x = 26,401 × 26,401
  4. Step 4: Simplify right side
    16,829x = 697,012,801
  5. Step 5: Solve for x
    x = 697,012,801/16,829
  6. Step 6: Final answer
    x = 41,417.36

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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.