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Finding the Third Proportional to 25,664 and 56,366

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Solution

The third proportional to 25,664 and 56,366 is: 123,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664 : 56,366 = 56,366 : x
  2. Step 2: Convert to fraction form
    25,664/56,366 = 56,366/x
  3. Step 3: Cross multiply
    25,664x = 56,366 × 56,366
  4. Step 4: Simplify right side
    25,664x = 3,177,125,956
  5. Step 5: Solve for x
    x = 3,177,125,956/25,664
  6. Step 6: Final answer
    x = 123,796.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.