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Finding the Third Proportional to 27,001 and 37,767

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Solution

The third proportional to 27,001 and 37,767 is: 52,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001 : 37,767 = 37,767 : x
  2. Step 2: Convert to fraction form
    27,001/37,767 = 37,767/x
  3. Step 3: Cross multiply
    27,001x = 37,767 × 37,767
  4. Step 4: Simplify right side
    27,001x = 1,426,346,289
  5. Step 5: Solve for x
    x = 1,426,346,289/27,001
  6. Step 6: Final answer
    x = 52,825.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.