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Finding the Third Proportional to 3,178 and 4,834

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Solution

The third proportional to 3,178 and 4,834 is: 7,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 4,834 = 4,834 : x
  2. Step 2: Convert to fraction form
    3,178/4,834 = 4,834/x
  3. Step 3: Cross multiply
    3,178x = 4,834 × 4,834
  4. Step 4: Simplify right side
    3,178x = 23,367,556
  5. Step 5: Solve for x
    x = 23,367,556/3,178
  6. Step 6: Final answer
    x = 7,352.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.