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Finding the Third Proportional to 18,802 and 25,307

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Solution

The third proportional to 18,802 and 25,307 is: 34,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802 : 25,307 = 25,307 : x
  2. Step 2: Convert to fraction form
    18,802/25,307 = 25,307/x
  3. Step 3: Cross multiply
    18,802x = 25,307 × 25,307
  4. Step 4: Simplify right side
    18,802x = 640,444,249
  5. Step 5: Solve for x
    x = 640,444,249/18,802
  6. Step 6: Final answer
    x = 34,062.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.