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Finding the Third Proportional to 14,050 and 30,278

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Solution

The third proportional to 14,050 and 30,278 is: 65,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050 : 30,278 = 30,278 : x
  2. Step 2: Convert to fraction form
    14,050/30,278 = 30,278/x
  3. Step 3: Cross multiply
    14,050x = 30,278 × 30,278
  4. Step 4: Simplify right side
    14,050x = 916,757,284
  5. Step 5: Solve for x
    x = 916,757,284/14,050
  6. Step 6: Final answer
    x = 65,249.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.