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Finding the Third Proportional to 25,567 and 55,782

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Solution

The third proportional to 25,567 and 55,782 is: 121,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,567 : 55,782 = 55,782 : x
  2. Step 2: Convert to fraction form
    25,567/55,782 = 55,782/x
  3. Step 3: Cross multiply
    25,567x = 55,782 × 55,782
  4. Step 4: Simplify right side
    25,567x = 3,111,631,524
  5. Step 5: Solve for x
    x = 3,111,631,524/25,567
  6. Step 6: Final answer
    x = 121,704.99

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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.