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Finding the Third Proportional to 27,238 and 59,823

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Solution

The third proportional to 27,238 and 59,823 is: 131,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238 : 59,823 = 59,823 : x
  2. Step 2: Convert to fraction form
    27,238/59,823 = 59,823/x
  3. Step 3: Cross multiply
    27,238x = 59,823 × 59,823
  4. Step 4: Simplify right side
    27,238x = 3,578,791,329
  5. Step 5: Solve for x
    x = 3,578,791,329/27,238
  6. Step 6: Final answer
    x = 131,389.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.