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Finding the Third Proportional to 12,982 and 14,224

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Solution

The third proportional to 12,982 and 14,224 is: 15,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982 : 14,224 = 14,224 : x
  2. Step 2: Convert to fraction form
    12,982/14,224 = 14,224/x
  3. Step 3: Cross multiply
    12,982x = 14,224 × 14,224
  4. Step 4: Simplify right side
    12,982x = 202,322,176
  5. Step 5: Solve for x
    x = 202,322,176/12,982
  6. Step 6: Final answer
    x = 15,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.