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Finding the Third Proportional to 27,239 and 36,967

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Solution

The third proportional to 27,239 and 36,967 is: 50,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239 : 36,967 = 36,967 : x
  2. Step 2: Convert to fraction form
    27,239/36,967 = 36,967/x
  3. Step 3: Cross multiply
    27,239x = 36,967 × 36,967
  4. Step 4: Simplify right side
    27,239x = 1,366,559,089
  5. Step 5: Solve for x
    x = 1,366,559,089/27,239
  6. Step 6: Final answer
    x = 50,169.21

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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.