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Finding the Third Proportional to 18,006 and 26,401

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Solution

The third proportional to 18,006 and 26,401 is: 38,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 26,401 = 26,401 : x
  2. Step 2: Convert to fraction form
    18,006/26,401 = 26,401/x
  3. Step 3: Cross multiply
    18,006x = 26,401 × 26,401
  4. Step 4: Simplify right side
    18,006x = 697,012,801
  5. Step 5: Solve for x
    x = 697,012,801/18,006
  6. Step 6: Final answer
    x = 38,710.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.