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Finding the Third Proportional to 6,094 and 9,170

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Solution

The third proportional to 6,094 and 9,170 is: 13,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094 : 9,170 = 9,170 : x
  2. Step 2: Convert to fraction form
    6,094/9,170 = 9,170/x
  3. Step 3: Cross multiply
    6,094x = 9,170 × 9,170
  4. Step 4: Simplify right side
    6,094x = 84,088,900
  5. Step 5: Solve for x
    x = 84,088,900/6,094
  6. Step 6: Final answer
    x = 13,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.