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Finding the Third Proportional to 11,106 and 24,054.75

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Solution

The third proportional to 11,106 and 24,054.75 is: 52,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 24,054.75 = 24,054.75 : x
  2. Step 2: Convert to fraction form
    11,106/24,054.75 = 24,054.75/x
  3. Step 3: Cross multiply
    11,106x = 24,054.75 × 24,054.75
  4. Step 4: Simplify right side
    11,106x = 578,630,997.56
  5. Step 5: Solve for x
    x = 578,630,997.56/11,106
  6. Step 6: Final answer
    x = 52,100.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.