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Finding the Third Proportional to 20,049 and 43,307

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Solution

The third proportional to 20,049 and 43,307 is: 93,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049 : 43,307 = 43,307 : x
  2. Step 2: Convert to fraction form
    20,049/43,307 = 43,307/x
  3. Step 3: Cross multiply
    20,049x = 43,307 × 43,307
  4. Step 4: Simplify right side
    20,049x = 1,875,496,249
  5. Step 5: Solve for x
    x = 1,875,496,249/20,049
  6. Step 6: Final answer
    x = 93,545.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.