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Finding the Third Proportional to 2,946.75 and 3,934.03

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Solution

The third proportional to 2,946.75 and 3,934.03 is: 5,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.75 : 3,934.03 = 3,934.03 : x
  2. Step 2: Convert to fraction form
    2,946.75/3,934.03 = 3,934.03/x
  3. Step 3: Cross multiply
    2,946.75x = 3,934.03 × 3,934.03
  4. Step 4: Simplify right side
    2,946.75x = 15,476,601.88
  5. Step 5: Solve for x
    x = 15,476,601.88/2,946.75
  6. Step 6: Final answer
    x = 5,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.