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Finding the Third Proportional to 6,863.06 and 14,984.79

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Solution

The third proportional to 6,863.06 and 14,984.79 is: 32,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.06 : 14,984.79 = 14,984.79 : x
  2. Step 2: Convert to fraction form
    6,863.06/14,984.79 = 14,984.79/x
  3. Step 3: Cross multiply
    6,863.06x = 14,984.79 × 14,984.79
  4. Step 4: Simplify right side
    6,863.06x = 224,543,903.25
  5. Step 5: Solve for x
    x = 224,543,903.25/6,863.06
  6. Step 6: Final answer
    x = 32,717.74

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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.