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Finding the Third Proportional to 3,899 and 5,728.63

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Solution

The third proportional to 3,899 and 5,728.63 is: 8,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,728.63 = 5,728.63 : x
  2. Step 2: Convert to fraction form
    3,899/5,728.63 = 5,728.63/x
  3. Step 3: Cross multiply
    3,899x = 5,728.63 × 5,728.63
  4. Step 4: Simplify right side
    3,899x = 32,817,144.39
  5. Step 5: Solve for x
    x = 32,817,144.39/3,899
  6. Step 6: Final answer
    x = 8,416.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.