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Finding the Third Proportional to 6,034 and 12,314

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Solution

The third proportional to 6,034 and 12,314 is: 25,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034 : 12,314 = 12,314 : x
  2. Step 2: Convert to fraction form
    6,034/12,314 = 12,314/x
  3. Step 3: Cross multiply
    6,034x = 12,314 × 12,314
  4. Step 4: Simplify right side
    6,034x = 151,634,596
  5. Step 5: Solve for x
    x = 151,634,596/6,034
  6. Step 6: Final answer
    x = 25,130.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.