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Finding the Third Proportional to 14,054 and 30,286

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Solution

The third proportional to 14,054 and 30,286 is: 65,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054 : 30,286 = 30,286 : x
  2. Step 2: Convert to fraction form
    14,054/30,286 = 30,286/x
  3. Step 3: Cross multiply
    14,054x = 30,286 × 30,286
  4. Step 4: Simplify right side
    14,054x = 917,241,796
  5. Step 5: Solve for x
    x = 917,241,796/14,054
  6. Step 6: Final answer
    x = 65,265.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.