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Finding the Third Proportional to 25,906 and 56,425

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Solution

The third proportional to 25,906 and 56,425 is: 122,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906 : 56,425 = 56,425 : x
  2. Step 2: Convert to fraction form
    25,906/56,425 = 56,425/x
  3. Step 3: Cross multiply
    25,906x = 56,425 × 56,425
  4. Step 4: Simplify right side
    25,906x = 3,183,780,625
  5. Step 5: Solve for x
    x = 3,183,780,625/25,906
  6. Step 6: Final answer
    x = 122,897.42

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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.