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Finding the Third Proportional to 6,478 and 14,224

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Solution

The third proportional to 6,478 and 14,224 is: 31,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 14,224 = 14,224 : x
  2. Step 2: Convert to fraction form
    6,478/14,224 = 14,224/x
  3. Step 3: Cross multiply
    6,478x = 14,224 × 14,224
  4. Step 4: Simplify right side
    6,478x = 202,322,176
  5. Step 5: Solve for x
    x = 202,322,176/6,478
  6. Step 6: Final answer
    x = 31,232.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.