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Finding the Third Proportional to 12,852 and 17,508.66

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Solution

The third proportional to 12,852 and 17,508.66 is: 23,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 17,508.66 = 17,508.66 : x
  2. Step 2: Convert to fraction form
    12,852/17,508.66 = 17,508.66/x
  3. Step 3: Cross multiply
    12,852x = 17,508.66 × 17,508.66
  4. Step 4: Simplify right side
    12,852x = 306,553,043.68
  5. Step 5: Solve for x
    x = 306,553,043.68/12,852
  6. Step 6: Final answer
    x = 23,852.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.