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Finding the Third Proportional to 7,463 and 16,093

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Solution

The third proportional to 7,463 and 16,093 is: 34,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463 : 16,093 = 16,093 : x
  2. Step 2: Convert to fraction form
    7,463/16,093 = 16,093/x
  3. Step 3: Cross multiply
    7,463x = 16,093 × 16,093
  4. Step 4: Simplify right side
    7,463x = 258,984,649
  5. Step 5: Solve for x
    x = 258,984,649/7,463
  6. Step 6: Final answer
    x = 34,702.49

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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.