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Finding the Third Proportional to 27,836 and 61,891

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Solution

The third proportional to 27,836 and 61,891 is: 137,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836 : 61,891 = 61,891 : x
  2. Step 2: Convert to fraction form
    27,836/61,891 = 61,891/x
  3. Step 3: Cross multiply
    27,836x = 61,891 × 61,891
  4. Step 4: Simplify right side
    27,836x = 3,830,495,881
  5. Step 5: Solve for x
    x = 3,830,495,881/27,836
  6. Step 6: Final answer
    x = 137,609.42

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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.