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Finding the Third Proportional to 28,823 and 62,864

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Solution

The third proportional to 28,823 and 62,864 is: 137,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,823 : 62,864 = 62,864 : x
  2. Step 2: Convert to fraction form
    28,823/62,864 = 62,864/x
  3. Step 3: Cross multiply
    28,823x = 62,864 × 62,864
  4. Step 4: Simplify right side
    28,823x = 3,951,882,496
  5. Step 5: Solve for x
    x = 3,951,882,496/28,823
  6. Step 6: Final answer
    x = 137,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.