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Finding the Third Proportional to 14,094 and 28,170

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Solution

The third proportional to 14,094 and 28,170 is: 56,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 28,170 = 28,170 : x
  2. Step 2: Convert to fraction form
    14,094/28,170 = 28,170/x
  3. Step 3: Cross multiply
    14,094x = 28,170 × 28,170
  4. Step 4: Simplify right side
    14,094x = 793,548,900
  5. Step 5: Solve for x
    x = 793,548,900/14,094
  6. Step 6: Final answer
    x = 56,304.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.