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Finding the Third Proportional to 2,167.70 and 4,761.60

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Solution

The third proportional to 2,167.70 and 4,761.60 is: 10,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.70 : 4,761.60 = 4,761.60 : x
  2. Step 2: Convert to fraction form
    2,167.70/4,761.60 = 4,761.60/x
  3. Step 3: Cross multiply
    2,167.70x = 4,761.60 × 4,761.60
  4. Step 4: Simplify right side
    2,167.70x = 22,672,812.24
  5. Step 5: Solve for x
    x = 22,672,812.24/2,167.70
  6. Step 6: Final answer
    x = 10,459.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.