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Finding the Third Proportional to 12,894 and 19,293

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Solution

The third proportional to 12,894 and 19,293 is: 28,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 19,293 = 19,293 : x
  2. Step 2: Convert to fraction form
    12,894/19,293 = 19,293/x
  3. Step 3: Cross multiply
    12,894x = 19,293 × 19,293
  4. Step 4: Simplify right side
    12,894x = 372,219,849
  5. Step 5: Solve for x
    x = 372,219,849/12,894
  6. Step 6: Final answer
    x = 28,867.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.