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Finding the Third Proportional to 6,944.37 and 14,999.32

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Solution

The third proportional to 6,944.37 and 14,999.32 is: 32,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.37 : 14,999.32 = 14,999.32 : x
  2. Step 2: Convert to fraction form
    6,944.37/14,999.32 = 14,999.32/x
  3. Step 3: Cross multiply
    6,944.37x = 14,999.32 × 14,999.32
  4. Step 4: Simplify right side
    6,944.37x = 224,979,521.95
  5. Step 5: Solve for x
    x = 224,979,521.95/6,944.37
  6. Step 6: Final answer
    x = 32,397.42

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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.