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Finding the Third Proportional to 26,803 and 39,401

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Solution

The third proportional to 26,803 and 39,401 is: 57,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803 : 39,401 = 39,401 : x
  2. Step 2: Convert to fraction form
    26,803/39,401 = 39,401/x
  3. Step 3: Cross multiply
    26,803x = 39,401 × 39,401
  4. Step 4: Simplify right side
    26,803x = 1,552,438,801
  5. Step 5: Solve for x
    x = 1,552,438,801/26,803
  6. Step 6: Final answer
    x = 57,920.34

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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.