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Finding the Third Proportional to 27,823 and 61,864

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Solution

The third proportional to 27,823 and 61,864 is: 137,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823 : 61,864 = 61,864 : x
  2. Step 2: Convert to fraction form
    27,823/61,864 = 61,864/x
  3. Step 3: Cross multiply
    27,823x = 61,864 × 61,864
  4. Step 4: Simplify right side
    27,823x = 3,827,154,496
  5. Step 5: Solve for x
    x = 3,827,154,496/27,823
  6. Step 6: Final answer
    x = 137,553.62

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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.