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Finding the Third Proportional to 27,750 and 41,607

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Solution

The third proportional to 27,750 and 41,607 is: 62,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,750 : 41,607 = 41,607 : x
  2. Step 2: Convert to fraction form
    27,750/41,607 = 41,607/x
  3. Step 3: Cross multiply
    27,750x = 41,607 × 41,607
  4. Step 4: Simplify right side
    27,750x = 1,731,142,449
  5. Step 5: Solve for x
    x = 1,731,142,449/27,750
  6. Step 6: Final answer
    x = 62,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.