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Finding the Third Proportional to 12,824 and 29,990

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Solution

The third proportional to 12,824 and 29,990 is: 70,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 29,990 = 29,990 : x
  2. Step 2: Convert to fraction form
    12,824/29,990 = 29,990/x
  3. Step 3: Cross multiply
    12,824x = 29,990 × 29,990
  4. Step 4: Simplify right side
    12,824x = 899,400,100
  5. Step 5: Solve for x
    x = 899,400,100/12,824
  6. Step 6: Final answer
    x = 70,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.