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Finding the Third Proportional to 26,962 and 39,477

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Solution

The third proportional to 26,962 and 39,477 is: 57,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,962 : 39,477 = 39,477 : x
  2. Step 2: Convert to fraction form
    26,962/39,477 = 39,477/x
  3. Step 3: Cross multiply
    26,962x = 39,477 × 39,477
  4. Step 4: Simplify right side
    26,962x = 1,558,433,529
  5. Step 5: Solve for x
    x = 1,558,433,529/26,962
  6. Step 6: Final answer
    x = 57,801.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.