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Finding the Third Proportional to 25,406 and 36,296

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Solution

The third proportional to 25,406 and 36,296 is: 51,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406 : 36,296 = 36,296 : x
  2. Step 2: Convert to fraction form
    25,406/36,296 = 36,296/x
  3. Step 3: Cross multiply
    25,406x = 36,296 × 36,296
  4. Step 4: Simplify right side
    25,406x = 1,317,399,616
  5. Step 5: Solve for x
    x = 1,317,399,616/25,406
  6. Step 6: Final answer
    x = 51,853.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.