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Finding the Third Proportional to 4,226.50 and 5,691.50

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Solution

The third proportional to 4,226.50 and 5,691.50 is: 7,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.50 : 5,691.50 = 5,691.50 : x
  2. Step 2: Convert to fraction form
    4,226.50/5,691.50 = 5,691.50/x
  3. Step 3: Cross multiply
    4,226.50x = 5,691.50 × 5,691.50
  4. Step 4: Simplify right side
    4,226.50x = 32,393,172.25
  5. Step 5: Solve for x
    x = 32,393,172.25/4,226.50
  6. Step 6: Final answer
    x = 7,664.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.