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Finding the Third Proportional to 4,055.44 and 8,743.69

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Solution

The third proportional to 4,055.44 and 8,743.69 is: 18,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.44 : 8,743.69 = 8,743.69 : x
  2. Step 2: Convert to fraction form
    4,055.44/8,743.69 = 8,743.69/x
  3. Step 3: Cross multiply
    4,055.44x = 8,743.69 × 8,743.69
  4. Step 4: Simplify right side
    4,055.44x = 76,452,071.10
  5. Step 5: Solve for x
    x = 76,452,071.10/4,055.44
  6. Step 6: Final answer
    x = 18,851.74

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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.