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Finding the Third Proportional to 25,941 and 56,593

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Solution

The third proportional to 25,941 and 56,593 is: 123,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,941 : 56,593 = 56,593 : x
  2. Step 2: Convert to fraction form
    25,941/56,593 = 56,593/x
  3. Step 3: Cross multiply
    25,941x = 56,593 × 56,593
  4. Step 4: Simplify right side
    25,941x = 3,202,767,649
  5. Step 5: Solve for x
    x = 3,202,767,649/25,941
  6. Step 6: Final answer
    x = 123,463.54

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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.