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Finding the Third Proportional to 25,670 and 55,876

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Solution

The third proportional to 25,670 and 55,876 is: 121,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670 : 55,876 = 55,876 : x
  2. Step 2: Convert to fraction form
    25,670/55,876 = 55,876/x
  3. Step 3: Cross multiply
    25,670x = 55,876 × 55,876
  4. Step 4: Simplify right side
    25,670x = 3,122,127,376
  5. Step 5: Solve for x
    x = 3,122,127,376/25,670
  6. Step 6: Final answer
    x = 121,625.53

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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.