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Finding the Third Proportional to 12,692 and 19,414

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Solution

The third proportional to 12,692 and 19,414 is: 29,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692 : 19,414 = 19,414 : x
  2. Step 2: Convert to fraction form
    12,692/19,414 = 19,414/x
  3. Step 3: Cross multiply
    12,692x = 19,414 × 19,414
  4. Step 4: Simplify right side
    12,692x = 376,903,396
  5. Step 5: Solve for x
    x = 376,903,396/12,692
  6. Step 6: Final answer
    x = 29,696.14

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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.