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Finding the Third Proportional to 27,654 and 41,619

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Solution

The third proportional to 27,654 and 41,619 is: 62,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654 : 41,619 = 41,619 : x
  2. Step 2: Convert to fraction form
    27,654/41,619 = 41,619/x
  3. Step 3: Cross multiply
    27,654x = 41,619 × 41,619
  4. Step 4: Simplify right side
    27,654x = 1,732,141,161
  5. Step 5: Solve for x
    x = 1,732,141,161/27,654
  6. Step 6: Final answer
    x = 62,636.19

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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.