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Finding the Third Proportional to 3,931.03 and 5,734.55

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Solution

The third proportional to 3,931.03 and 5,734.55 is: 8,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.03 : 5,734.55 = 5,734.55 : x
  2. Step 2: Convert to fraction form
    3,931.03/5,734.55 = 5,734.55/x
  3. Step 3: Cross multiply
    3,931.03x = 5,734.55 × 5,734.55
  4. Step 4: Simplify right side
    3,931.03x = 32,885,027.86
  5. Step 5: Solve for x
    x = 32,885,027.86/3,931.03
  6. Step 6: Final answer
    x = 8,365.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.