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Finding the Third Proportional to 10,872.56 and 16,659.84

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Solution

The third proportional to 10,872.56 and 16,659.84 is: 25,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.56 : 16,659.84 = 16,659.84 : x
  2. Step 2: Convert to fraction form
    10,872.56/16,659.84 = 16,659.84/x
  3. Step 3: Cross multiply
    10,872.56x = 16,659.84 × 16,659.84
  4. Step 4: Simplify right side
    10,872.56x = 277,550,393.77
  5. Step 5: Solve for x
    x = 277,550,393.77/10,872.56
  6. Step 6: Final answer
    x = 25,527.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.