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Finding the Third Proportional to 3,730.50 and 5,670.75

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Solution

The third proportional to 3,730.50 and 5,670.75 is: 8,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.50 : 5,670.75 = 5,670.75 : x
  2. Step 2: Convert to fraction form
    3,730.50/5,670.75 = 5,670.75/x
  3. Step 3: Cross multiply
    3,730.50x = 5,670.75 × 5,670.75
  4. Step 4: Simplify right side
    3,730.50x = 32,157,405.56
  5. Step 5: Solve for x
    x = 32,157,405.56/3,730.50
  6. Step 6: Final answer
    x = 8,620.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.