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Finding the Third Proportional to 12,884 and 19,692

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Solution

The third proportional to 12,884 and 19,692 is: 30,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 19,692 = 19,692 : x
  2. Step 2: Convert to fraction form
    12,884/19,692 = 19,692/x
  3. Step 3: Cross multiply
    12,884x = 19,692 × 19,692
  4. Step 4: Simplify right side
    12,884x = 387,774,864
  5. Step 5: Solve for x
    x = 387,774,864/12,884
  6. Step 6: Final answer
    x = 30,097.40

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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.