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Finding the Third Proportional to 25,679 and 56,392

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Solution

The third proportional to 25,679 and 56,392 is: 123,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679 : 56,392 = 56,392 : x
  2. Step 2: Convert to fraction form
    25,679/56,392 = 56,392/x
  3. Step 3: Cross multiply
    25,679x = 56,392 × 56,392
  4. Step 4: Simplify right side
    25,679x = 3,180,057,664
  5. Step 5: Solve for x
    x = 3,180,057,664/25,679
  6. Step 6: Final answer
    x = 123,838.84

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