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Finding the Third Proportional to 13,979 and 30,550

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Solution

The third proportional to 13,979 and 30,550 is: 66,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,979 : 30,550 = 30,550 : x
  2. Step 2: Convert to fraction form
    13,979/30,550 = 30,550/x
  3. Step 3: Cross multiply
    13,979x = 30,550 × 30,550
  4. Step 4: Simplify right side
    13,979x = 933,302,500
  5. Step 5: Solve for x
    x = 933,302,500/13,979
  6. Step 6: Final answer
    x = 66,764.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.