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Finding the Third Proportional to 4,694 and 10,625

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Solution

The third proportional to 4,694 and 10,625 is: 24,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694 : 10,625 = 10,625 : x
  2. Step 2: Convert to fraction form
    4,694/10,625 = 10,625/x
  3. Step 3: Cross multiply
    4,694x = 10,625 × 10,625
  4. Step 4: Simplify right side
    4,694x = 112,890,625
  5. Step 5: Solve for x
    x = 112,890,625/4,694
  6. Step 6: Final answer
    x = 24,049.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.