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Finding the Third Proportional to 27,262.50 and 38,661

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Solution

The third proportional to 27,262.50 and 38,661 is: 54,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.50 : 38,661 = 38,661 : x
  2. Step 2: Convert to fraction form
    27,262.50/38,661 = 38,661/x
  3. Step 3: Cross multiply
    27,262.50x = 38,661 × 38,661
  4. Step 4: Simplify right side
    27,262.50x = 1,494,672,921
  5. Step 5: Solve for x
    x = 1,494,672,921/27,262.50
  6. Step 6: Final answer
    x = 54,825.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.