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Finding the Third Proportional to 28,822 and 62,863

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Solution

The third proportional to 28,822 and 62,863 is: 137,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 62,863 = 62,863 : x
  2. Step 2: Convert to fraction form
    28,822/62,863 = 62,863/x
  3. Step 3: Cross multiply
    28,822x = 62,863 × 62,863
  4. Step 4: Simplify right side
    28,822x = 3,951,756,769
  5. Step 5: Solve for x
    x = 3,951,756,769/28,822
  6. Step 6: Final answer
    x = 137,109.04

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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.