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Finding the Third Proportional to 10,467.56 and 16,212.66

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Solution

The third proportional to 10,467.56 and 16,212.66 is: 25,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.56 : 16,212.66 = 16,212.66 : x
  2. Step 2: Convert to fraction form
    10,467.56/16,212.66 = 16,212.66/x
  3. Step 3: Cross multiply
    10,467.56x = 16,212.66 × 16,212.66
  4. Step 4: Simplify right side
    10,467.56x = 262,850,222.68
  5. Step 5: Solve for x
    x = 262,850,222.68/10,467.56
  6. Step 6: Final answer
    x = 25,110.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.