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Finding the Third Proportional to 49,484.25 and 76,655.25

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Solution

The third proportional to 49,484.25 and 76,655.25 is: 118,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,484.25 : 76,655.25 = 76,655.25 : x
  2. Step 2: Convert to fraction form
    49,484.25/76,655.25 = 76,655.25/x
  3. Step 3: Cross multiply
    49,484.25x = 76,655.25 × 76,655.25
  4. Step 4: Simplify right side
    49,484.25x = 5,876,027,352.56
  5. Step 5: Solve for x
    x = 5,876,027,352.56/49,484.25
  6. Step 6: Final answer
    x = 118,745.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.