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Finding the Third Proportional to 27,886 and 61,301

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Solution

The third proportional to 27,886 and 61,301 is: 134,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886 : 61,301 = 61,301 : x
  2. Step 2: Convert to fraction form
    27,886/61,301 = 61,301/x
  3. Step 3: Cross multiply
    27,886x = 61,301 × 61,301
  4. Step 4: Simplify right side
    27,886x = 3,757,812,601
  5. Step 5: Solve for x
    x = 3,757,812,601/27,886
  6. Step 6: Final answer
    x = 134,756.24

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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.