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Finding the Third Proportional to 27,817 and 61,853.25

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Solution

The third proportional to 27,817 and 61,853.25 is: 137,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817 : 61,853.25 = 61,853.25 : x
  2. Step 2: Convert to fraction form
    27,817/61,853.25 = 61,853.25/x
  3. Step 3: Cross multiply
    27,817x = 61,853.25 × 61,853.25
  4. Step 4: Simplify right side
    27,817x = 3,825,824,535.56
  5. Step 5: Solve for x
    x = 3,825,824,535.56/27,817
  6. Step 6: Final answer
    x = 137,535.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.