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Finding the Third Proportional to 3,894.19 and 5,846.06

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Solution

The third proportional to 3,894.19 and 5,846.06 is: 8,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.19 : 5,846.06 = 5,846.06 : x
  2. Step 2: Convert to fraction form
    3,894.19/5,846.06 = 5,846.06/x
  3. Step 3: Cross multiply
    3,894.19x = 5,846.06 × 5,846.06
  4. Step 4: Simplify right side
    3,894.19x = 34,176,446.75
  5. Step 5: Solve for x
    x = 34,176,446.75/3,894.19
  6. Step 6: Final answer
    x = 8,776.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.