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Finding the Third Proportional to 10,914.56 and 23,872.41

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Solution

The third proportional to 10,914.56 and 23,872.41 is: 52,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.56 : 23,872.41 = 23,872.41 : x
  2. Step 2: Convert to fraction form
    10,914.56/23,872.41 = 23,872.41/x
  3. Step 3: Cross multiply
    10,914.56x = 23,872.41 × 23,872.41
  4. Step 4: Simplify right side
    10,914.56x = 569,891,780.17
  5. Step 5: Solve for x
    x = 569,891,780.17/10,914.56
  6. Step 6: Final answer
    x = 52,213.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.