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Finding the Third Proportional to 6,339.52 and 13,975.03

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Solution

The third proportional to 6,339.52 and 13,975.03 is: 30,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.52 : 13,975.03 = 13,975.03 : x
  2. Step 2: Convert to fraction form
    6,339.52/13,975.03 = 13,975.03/x
  3. Step 3: Cross multiply
    6,339.52x = 13,975.03 × 13,975.03
  4. Step 4: Simplify right side
    6,339.52x = 195,301,498.44
  5. Step 5: Solve for x
    x = 195,301,498.44/6,339.52
  6. Step 6: Final answer
    x = 30,807.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.