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Finding the Third Proportional to 13,113 and 14,193

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Solution

The third proportional to 13,113 and 14,193 is: 15,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113 : 14,193 = 14,193 : x
  2. Step 2: Convert to fraction form
    13,113/14,193 = 14,193/x
  3. Step 3: Cross multiply
    13,113x = 14,193 × 14,193
  4. Step 4: Simplify right side
    13,113x = 201,441,249
  5. Step 5: Solve for x
    x = 201,441,249/13,113
  6. Step 6: Final answer
    x = 15,361.95

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.