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Finding the Third Proportional to 11,319.75 and 24,188.63

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Solution

The third proportional to 11,319.75 and 24,188.63 is: 51,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.75 : 24,188.63 = 24,188.63 : x
  2. Step 2: Convert to fraction form
    11,319.75/24,188.63 = 24,188.63/x
  3. Step 3: Cross multiply
    11,319.75x = 24,188.63 × 24,188.63
  4. Step 4: Simplify right side
    11,319.75x = 585,089,579.39
  5. Step 5: Solve for x
    x = 585,089,579.39/11,319.75
  6. Step 6: Final answer
    x = 51,687.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.