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Finding the Third Proportional to 27,885 and 37,827

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Solution

The third proportional to 27,885 and 37,827 is: 51,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885 : 37,827 = 37,827 : x
  2. Step 2: Convert to fraction form
    27,885/37,827 = 37,827/x
  3. Step 3: Cross multiply
    27,885x = 37,827 × 37,827
  4. Step 4: Simplify right side
    27,885x = 1,430,881,929
  5. Step 5: Solve for x
    x = 1,430,881,929/27,885
  6. Step 6: Final answer
    x = 51,313.68

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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.