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Finding the Third Proportional to 25,196 and 52,822

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Solution

The third proportional to 25,196 and 52,822 is: 110,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196 : 52,822 = 52,822 : x
  2. Step 2: Convert to fraction form
    25,196/52,822 = 52,822/x
  3. Step 3: Cross multiply
    25,196x = 52,822 × 52,822
  4. Step 4: Simplify right side
    25,196x = 2,790,163,684
  5. Step 5: Solve for x
    x = 2,790,163,684/25,196
  6. Step 6: Final answer
    x = 110,738.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.