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Finding the Third Proportional to 7,913 and 16,801

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Solution

The third proportional to 7,913 and 16,801 is: 35,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913 : 16,801 = 16,801 : x
  2. Step 2: Convert to fraction form
    7,913/16,801 = 16,801/x
  3. Step 3: Cross multiply
    7,913x = 16,801 × 16,801
  4. Step 4: Simplify right side
    7,913x = 282,273,601
  5. Step 5: Solve for x
    x = 282,273,601/7,913
  6. Step 6: Final answer
    x = 35,672.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.