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Finding the Third Proportional to 12,980 and 28,003

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Solution

The third proportional to 12,980 and 28,003 is: 60,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980 : 28,003 = 28,003 : x
  2. Step 2: Convert to fraction form
    12,980/28,003 = 28,003/x
  3. Step 3: Cross multiply
    12,980x = 28,003 × 28,003
  4. Step 4: Simplify right side
    12,980x = 784,168,009
  5. Step 5: Solve for x
    x = 784,168,009/12,980
  6. Step 6: Final answer
    x = 60,413.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.