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Finding the Third Proportional to 4,055.06 and 8,738.72

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Solution

The third proportional to 4,055.06 and 8,738.72 is: 18,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.06 : 8,738.72 = 8,738.72 : x
  2. Step 2: Convert to fraction form
    4,055.06/8,738.72 = 8,738.72/x
  3. Step 3: Cross multiply
    4,055.06x = 8,738.72 × 8,738.72
  4. Step 4: Simplify right side
    4,055.06x = 76,365,205.39
  5. Step 5: Solve for x
    x = 76,365,205.39/4,055.06
  6. Step 6: Final answer
    x = 18,832.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.