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Finding the Third Proportional to 27,822 and 61,863

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Solution

The third proportional to 27,822 and 61,863 is: 137,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 61,863 = 61,863 : x
  2. Step 2: Convert to fraction form
    27,822/61,863 = 61,863/x
  3. Step 3: Cross multiply
    27,822x = 61,863 × 61,863
  4. Step 4: Simplify right side
    27,822x = 3,827,030,769
  5. Step 5: Solve for x
    x = 3,827,030,769/27,822
  6. Step 6: Final answer
    x = 137,554.12

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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.