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Finding the Third Proportional to 4,197.66 and 4,676.06

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Solution

The third proportional to 4,197.66 and 4,676.06 is: 5,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.66 : 4,676.06 = 4,676.06 : x
  2. Step 2: Convert to fraction form
    4,197.66/4,676.06 = 4,676.06/x
  3. Step 3: Cross multiply
    4,197.66x = 4,676.06 × 4,676.06
  4. Step 4: Simplify right side
    4,197.66x = 21,865,560.50
  5. Step 5: Solve for x
    x = 21,865,560.50/4,197.66
  6. Step 6: Final answer
    x = 5,208.99

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.