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Finding the Third Proportional to 13,994 and 15,182

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Solution

The third proportional to 13,994 and 15,182 is: 16,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994 : 15,182 = 15,182 : x
  2. Step 2: Convert to fraction form
    13,994/15,182 = 15,182/x
  3. Step 3: Cross multiply
    13,994x = 15,182 × 15,182
  4. Step 4: Simplify right side
    13,994x = 230,493,124
  5. Step 5: Solve for x
    x = 230,493,124/13,994
  6. Step 6: Final answer
    x = 16,470.85

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1.5x scale

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.