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Finding the Third Proportional to 25,007 and 52,822

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Solution

The third proportional to 25,007 and 52,822 is: 111,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,007 : 52,822 = 52,822 : x
  2. Step 2: Convert to fraction form
    25,007/52,822 = 52,822/x
  3. Step 3: Cross multiply
    25,007x = 52,822 × 52,822
  4. Step 4: Simplify right side
    25,007x = 2,790,163,684
  5. Step 5: Solve for x
    x = 2,790,163,684/25,007
  6. Step 6: Final answer
    x = 111,575.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.