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Finding the Third Proportional to 3,153.94 and 4,676.06

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Solution

The third proportional to 3,153.94 and 4,676.06 is: 6,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.94 : 4,676.06 = 4,676.06 : x
  2. Step 2: Convert to fraction form
    3,153.94/4,676.06 = 4,676.06/x
  3. Step 3: Cross multiply
    3,153.94x = 4,676.06 × 4,676.06
  4. Step 4: Simplify right side
    3,153.94x = 21,865,560.50
  5. Step 5: Solve for x
    x = 21,865,560.50/3,153.94
  6. Step 6: Final answer
    x = 6,932.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.