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Finding the Third Proportional to 12,884 and 19,726

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Solution

The third proportional to 12,884 and 19,726 is: 30,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 19,726 = 19,726 : x
  2. Step 2: Convert to fraction form
    12,884/19,726 = 19,726/x
  3. Step 3: Cross multiply
    12,884x = 19,726 × 19,726
  4. Step 4: Simplify right side
    12,884x = 389,115,076
  5. Step 5: Solve for x
    x = 389,115,076/12,884
  6. Step 6: Final answer
    x = 30,201.42

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Why These Related Problems?

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