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Finding the Third Proportional to 25,802 and 54,508

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Solution

The third proportional to 25,802 and 54,508 is: 115,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802 : 54,508 = 54,508 : x
  2. Step 2: Convert to fraction form
    25,802/54,508 = 54,508/x
  3. Step 3: Cross multiply
    25,802x = 54,508 × 54,508
  4. Step 4: Simplify right side
    25,802x = 2,971,122,064
  5. Step 5: Solve for x
    x = 2,971,122,064/25,802
  6. Step 6: Final answer
    x = 115,150.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.