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Finding the Third Proportional to 6,713.44 and 14,657.06

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Solution

The third proportional to 6,713.44 and 14,657.06 is: 31,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.44 : 14,657.06 = 14,657.06 : x
  2. Step 2: Convert to fraction form
    6,713.44/14,657.06 = 14,657.06/x
  3. Step 3: Cross multiply
    6,713.44x = 14,657.06 × 14,657.06
  4. Step 4: Simplify right side
    6,713.44x = 214,829,481.13
  5. Step 5: Solve for x
    x = 214,829,481.13/6,713.44
  6. Step 6: Final answer
    x = 31,999.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.