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Finding the Third Proportional to 43,897 and 94,815

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Solution

The third proportional to 43,897 and 94,815 is: 204,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897 : 94,815 = 94,815 : x
  2. Step 2: Convert to fraction form
    43,897/94,815 = 94,815/x
  3. Step 3: Cross multiply
    43,897x = 94,815 × 94,815
  4. Step 4: Simplify right side
    43,897x = 8,989,884,225
  5. Step 5: Solve for x
    x = 8,989,884,225/43,897
  6. Step 6: Final answer
    x = 204,794.96

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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.