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Finding the Third Proportional to 3,782 and 4,904

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Solution

The third proportional to 3,782 and 4,904 is: 6,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 4,904 = 4,904 : x
  2. Step 2: Convert to fraction form
    3,782/4,904 = 4,904/x
  3. Step 3: Cross multiply
    3,782x = 4,904 × 4,904
  4. Step 4: Simplify right side
    3,782x = 24,049,216
  5. Step 5: Solve for x
    x = 24,049,216/3,782
  6. Step 6: Final answer
    x = 6,358.86

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.