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Finding the Third Proportional to 6,431.91 and 13,949.72

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Solution

The third proportional to 6,431.91 and 13,949.72 is: 30,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.91 : 13,949.72 = 13,949.72 : x
  2. Step 2: Convert to fraction form
    6,431.91/13,949.72 = 13,949.72/x
  3. Step 3: Cross multiply
    6,431.91x = 13,949.72 × 13,949.72
  4. Step 4: Simplify right side
    6,431.91x = 194,594,653.20
  5. Step 5: Solve for x
    x = 194,594,653.20/6,431.91
  6. Step 6: Final answer
    x = 30,254.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.