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Finding the Third Proportional to 6,397 and 12,010

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Solution

The third proportional to 6,397 and 12,010 is: 22,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 12,010 = 12,010 : x
  2. Step 2: Convert to fraction form
    6,397/12,010 = 12,010/x
  3. Step 3: Cross multiply
    6,397x = 12,010 × 12,010
  4. Step 4: Simplify right side
    6,397x = 144,240,100
  5. Step 5: Solve for x
    x = 144,240,100/6,397
  6. Step 6: Final answer
    x = 22,548.09

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.