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Finding the Third Proportional to 4,946.06 and 6,596.44

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Solution

The third proportional to 4,946.06 and 6,596.44 is: 8,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.06 : 6,596.44 = 6,596.44 : x
  2. Step 2: Convert to fraction form
    4,946.06/6,596.44 = 6,596.44/x
  3. Step 3: Cross multiply
    4,946.06x = 6,596.44 × 6,596.44
  4. Step 4: Simplify right side
    4,946.06x = 43,512,987.69
  5. Step 5: Solve for x
    x = 43,512,987.69/4,946.06
  6. Step 6: Final answer
    x = 8,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.