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Finding the Third Proportional to 25,817 and 36,357

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Solution

The third proportional to 25,817 and 36,357 is: 51,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817 : 36,357 = 36,357 : x
  2. Step 2: Convert to fraction form
    25,817/36,357 = 36,357/x
  3. Step 3: Cross multiply
    25,817x = 36,357 × 36,357
  4. Step 4: Simplify right side
    25,817x = 1,321,831,449
  5. Step 5: Solve for x
    x = 1,321,831,449/25,817
  6. Step 6: Final answer
    x = 51,200.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.