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Finding the Third Proportional to 5,076.84 and 10,872.56

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Solution

The third proportional to 5,076.84 and 10,872.56 is: 23,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.84 : 10,872.56 = 10,872.56 : x
  2. Step 2: Convert to fraction form
    5,076.84/10,872.56 = 10,872.56/x
  3. Step 3: Cross multiply
    5,076.84x = 10,872.56 × 10,872.56
  4. Step 4: Simplify right side
    5,076.84x = 118,212,615.32
  5. Step 5: Solve for x
    x = 118,212,615.32/5,076.84
  6. Step 6: Final answer
    x = 23,284.67

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Why These Related Problems?

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