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Finding the Third Proportional to 24,608.44 and 53,727.56

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Solution

The third proportional to 24,608.44 and 53,727.56 is: 117,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.44 : 53,727.56 = 53,727.56 : x
  2. Step 2: Convert to fraction form
    24,608.44/53,727.56 = 53,727.56/x
  3. Step 3: Cross multiply
    24,608.44x = 53,727.56 × 53,727.56
  4. Step 4: Simplify right side
    24,608.44x = 2,886,650,972.19
  5. Step 5: Solve for x
    x = 2,886,650,972.19/24,608.44
  6. Step 6: Final answer
    x = 117,303.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.