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Finding the Third Proportional to 4,814 and 7,949

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Solution

The third proportional to 4,814 and 7,949 is: 13,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 7,949 = 7,949 : x
  2. Step 2: Convert to fraction form
    4,814/7,949 = 7,949/x
  3. Step 3: Cross multiply
    4,814x = 7,949 × 7,949
  4. Step 4: Simplify right side
    4,814x = 63,186,601
  5. Step 5: Solve for x
    x = 63,186,601/4,814
  6. Step 6: Final answer
    x = 13,125.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.