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Finding the Third Proportional to 7,743 and 16,485

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Solution

The third proportional to 7,743 and 16,485 is: 35,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 16,485 = 16,485 : x
  2. Step 2: Convert to fraction form
    7,743/16,485 = 16,485/x
  3. Step 3: Cross multiply
    7,743x = 16,485 × 16,485
  4. Step 4: Simplify right side
    7,743x = 271,755,225
  5. Step 5: Solve for x
    x = 271,755,225/7,743
  6. Step 6: Final answer
    x = 35,096.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.