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Finding the Third Proportional to 6,170 and 12,532

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Solution

The third proportional to 6,170 and 12,532 is: 25,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 12,532 = 12,532 : x
  2. Step 2: Convert to fraction form
    6,170/12,532 = 12,532/x
  3. Step 3: Cross multiply
    6,170x = 12,532 × 12,532
  4. Step 4: Simplify right side
    6,170x = 157,051,024
  5. Step 5: Solve for x
    x = 157,051,024/6,170
  6. Step 6: Final answer
    x = 25,453.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.