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Finding the Third Proportional to 4,912 and 9,578

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Solution

The third proportional to 4,912 and 9,578 is: 18,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912 : 9,578 = 9,578 : x
  2. Step 2: Convert to fraction form
    4,912/9,578 = 9,578/x
  3. Step 3: Cross multiply
    4,912x = 9,578 × 9,578
  4. Step 4: Simplify right side
    4,912x = 91,738,084
  5. Step 5: Solve for x
    x = 91,738,084/4,912
  6. Step 6: Final answer
    x = 18,676.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.