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Finding the Third Proportional to 25,660 and 56,356

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Solution

The third proportional to 25,660 and 56,356 is: 123,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660 : 56,356 = 56,356 : x
  2. Step 2: Convert to fraction form
    25,660/56,356 = 56,356/x
  3. Step 3: Cross multiply
    25,660x = 56,356 × 56,356
  4. Step 4: Simplify right side
    25,660x = 3,175,998,736
  5. Step 5: Solve for x
    x = 3,175,998,736/25,660
  6. Step 6: Final answer
    x = 123,772.36

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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.