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Finding the Third Proportional to 6,971.06 and 14,659.73

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Solution

The third proportional to 6,971.06 and 14,659.73 is: 30,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.06 : 14,659.73 = 14,659.73 : x
  2. Step 2: Convert to fraction form
    6,971.06/14,659.73 = 14,659.73/x
  3. Step 3: Cross multiply
    6,971.06x = 14,659.73 × 14,659.73
  4. Step 4: Simplify right side
    6,971.06x = 214,907,811.95
  5. Step 5: Solve for x
    x = 214,907,811.95/6,971.06
  6. Step 6: Final answer
    x = 30,828.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.