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Finding the Third Proportional to 12,413 and 18,647

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Solution

The third proportional to 12,413 and 18,647 is: 28,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413 : 18,647 = 18,647 : x
  2. Step 2: Convert to fraction form
    12,413/18,647 = 18,647/x
  3. Step 3: Cross multiply
    12,413x = 18,647 × 18,647
  4. Step 4: Simplify right side
    12,413x = 347,710,609
  5. Step 5: Solve for x
    x = 347,710,609/12,413
  6. Step 6: Final answer
    x = 28,011.81

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Why These Related Problems?

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