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Finding the Third Proportional to 24,740.44 and 56,998.69

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Solution

The third proportional to 24,740.44 and 56,998.69 is: 131,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.44 : 56,998.69 = 56,998.69 : x
  2. Step 2: Convert to fraction form
    24,740.44/56,998.69 = 56,998.69/x
  3. Step 3: Cross multiply
    24,740.44x = 56,998.69 × 56,998.69
  4. Step 4: Simplify right side
    24,740.44x = 3,248,850,376.72
  5. Step 5: Solve for x
    x = 3,248,850,376.72/24,740.44
  6. Step 6: Final answer
    x = 131,317.42

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.