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Finding the Third Proportional to 25,649 and 56,002

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Solution

The third proportional to 25,649 and 56,002 is: 122,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649 : 56,002 = 56,002 : x
  2. Step 2: Convert to fraction form
    25,649/56,002 = 56,002/x
  3. Step 3: Cross multiply
    25,649x = 56,002 × 56,002
  4. Step 4: Simplify right side
    25,649x = 3,136,224,004
  5. Step 5: Solve for x
    x = 3,136,224,004/25,649
  6. Step 6: Final answer
    x = 122,274.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.