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Finding the Third Proportional to 7,749 and 16,965

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Solution

The third proportional to 7,749 and 16,965 is: 37,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 16,965 = 16,965 : x
  2. Step 2: Convert to fraction form
    7,749/16,965 = 16,965/x
  3. Step 3: Cross multiply
    7,749x = 16,965 × 16,965
  4. Step 4: Simplify right side
    7,749x = 287,811,225
  5. Step 5: Solve for x
    x = 287,811,225/7,749
  6. Step 6: Final answer
    x = 37,141.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.