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Finding the Third Proportional to 11,656.41 and 24,699.94

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Solution

The third proportional to 11,656.41 and 24,699.94 is: 52,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.41 : 24,699.94 = 24,699.94 : x
  2. Step 2: Convert to fraction form
    11,656.41/24,699.94 = 24,699.94/x
  3. Step 3: Cross multiply
    11,656.41x = 24,699.94 × 24,699.94
  4. Step 4: Simplify right side
    11,656.41x = 610,086,912.50
  5. Step 5: Solve for x
    x = 610,086,912.50/11,656.41
  6. Step 6: Final answer
    x = 52,339.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.