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Finding the Third Proportional to 12,914 and 18,083

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Solution

The third proportional to 12,914 and 18,083 is: 25,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 18,083 = 18,083 : x
  2. Step 2: Convert to fraction form
    12,914/18,083 = 18,083/x
  3. Step 3: Cross multiply
    12,914x = 18,083 × 18,083
  4. Step 4: Simplify right side
    12,914x = 326,994,889
  5. Step 5: Solve for x
    x = 326,994,889/12,914
  6. Step 6: Final answer
    x = 25,320.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.