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Finding the Third Proportional to 25,961 and 56,296

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Solution

The third proportional to 25,961 and 56,296 is: 122,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961 : 56,296 = 56,296 : x
  2. Step 2: Convert to fraction form
    25,961/56,296 = 56,296/x
  3. Step 3: Cross multiply
    25,961x = 56,296 × 56,296
  4. Step 4: Simplify right side
    25,961x = 3,169,239,616
  5. Step 5: Solve for x
    x = 3,169,239,616/25,961
  6. Step 6: Final answer
    x = 122,076.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.