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Finding the Third Proportional to 25,493 and 52,777

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Solution

The third proportional to 25,493 and 52,777 is: 109,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493 : 52,777 = 52,777 : x
  2. Step 2: Convert to fraction form
    25,493/52,777 = 52,777/x
  3. Step 3: Cross multiply
    25,493x = 52,777 × 52,777
  4. Step 4: Simplify right side
    25,493x = 2,785,411,729
  5. Step 5: Solve for x
    x = 2,785,411,729/25,493
  6. Step 6: Final answer
    x = 109,261.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.