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Finding the Third Proportional to 19,745.65 and 43,181.86

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Solution

The third proportional to 19,745.65 and 43,181.86 is: 94,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.65 : 43,181.86 = 43,181.86 : x
  2. Step 2: Convert to fraction form
    19,745.65/43,181.86 = 43,181.86/x
  3. Step 3: Cross multiply
    19,745.65x = 43,181.86 × 43,181.86
  4. Step 4: Simplify right side
    19,745.65x = 1,864,672,979.08
  5. Step 5: Solve for x
    x = 1,864,672,979.08/19,745.65
  6. Step 6: Final answer
    x = 94,434.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.