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Finding the Third Proportional to 25,267 and 54,902

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Solution

The third proportional to 25,267 and 54,902 is: 119,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,267 : 54,902 = 54,902 : x
  2. Step 2: Convert to fraction form
    25,267/54,902 = 54,902/x
  3. Step 3: Cross multiply
    25,267x = 54,902 × 54,902
  4. Step 4: Simplify right side
    25,267x = 3,014,229,604
  5. Step 5: Solve for x
    x = 3,014,229,604/25,267
  6. Step 6: Final answer
    x = 119,295.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.