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Finding the Third Proportional to 11,188.50 and 24,705.75

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Solution

The third proportional to 11,188.50 and 24,705.75 is: 54,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.50 : 24,705.75 = 24,705.75 : x
  2. Step 2: Convert to fraction form
    11,188.50/24,705.75 = 24,705.75/x
  3. Step 3: Cross multiply
    11,188.50x = 24,705.75 × 24,705.75
  4. Step 4: Simplify right side
    11,188.50x = 610,374,083.06
  5. Step 5: Solve for x
    x = 610,374,083.06/11,188.50
  6. Step 6: Final answer
    x = 54,553.70

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.