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Finding the Third Proportional to 3,297.50 and 4,723.63

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Solution

The third proportional to 3,297.50 and 4,723.63 is: 6,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.50 : 4,723.63 = 4,723.63 : x
  2. Step 2: Convert to fraction form
    3,297.50/4,723.63 = 4,723.63/x
  3. Step 3: Cross multiply
    3,297.50x = 4,723.63 × 4,723.63
  4. Step 4: Simplify right side
    3,297.50x = 22,312,633.14
  5. Step 5: Solve for x
    x = 22,312,633.14/3,297.50
  6. Step 6: Final answer
    x = 6,766.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.