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Finding the Third Proportional to 26,436 and 36,008

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Solution

The third proportional to 26,436 and 36,008 is: 49,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436 : 36,008 = 36,008 : x
  2. Step 2: Convert to fraction form
    26,436/36,008 = 36,008/x
  3. Step 3: Cross multiply
    26,436x = 36,008 × 36,008
  4. Step 4: Simplify right side
    26,436x = 1,296,576,064
  5. Step 5: Solve for x
    x = 1,296,576,064/26,436
  6. Step 6: Final answer
    x = 49,045.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.