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Finding the Third Proportional to 12,670 and 19,081

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Solution

The third proportional to 12,670 and 19,081 is: 28,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670 : 19,081 = 19,081 : x
  2. Step 2: Convert to fraction form
    12,670/19,081 = 19,081/x
  3. Step 3: Cross multiply
    12,670x = 19,081 × 19,081
  4. Step 4: Simplify right side
    12,670x = 364,084,561
  5. Step 5: Solve for x
    x = 364,084,561/12,670
  6. Step 6: Final answer
    x = 28,735.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.