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Finding the Third Proportional to 6,478 and 13,946.75

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Solution

The third proportional to 6,478 and 13,946.75 is: 30,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 13,946.75 = 13,946.75 : x
  2. Step 2: Convert to fraction form
    6,478/13,946.75 = 13,946.75/x
  3. Step 3: Cross multiply
    6,478x = 13,946.75 × 13,946.75
  4. Step 4: Simplify right side
    6,478x = 194,511,835.56
  5. Step 5: Solve for x
    x = 194,511,835.56/6,478
  6. Step 6: Final answer
    x = 30,026.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.