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Finding the Third Proportional to 12,727 and 19,433

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Solution

The third proportional to 12,727 and 19,433 is: 29,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727 : 19,433 = 19,433 : x
  2. Step 2: Convert to fraction form
    12,727/19,433 = 19,433/x
  3. Step 3: Cross multiply
    12,727x = 19,433 × 19,433
  4. Step 4: Simplify right side
    12,727x = 377,641,489
  5. Step 5: Solve for x
    x = 377,641,489/12,727
  6. Step 6: Final answer
    x = 29,672.47

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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.