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Finding the Third Proportional to 4,946.25 and 7,085.44

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Solution

The third proportional to 4,946.25 and 7,085.44 is: 10,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.25 : 7,085.44 = 7,085.44 : x
  2. Step 2: Convert to fraction form
    4,946.25/7,085.44 = 7,085.44/x
  3. Step 3: Cross multiply
    4,946.25x = 7,085.44 × 7,085.44
  4. Step 4: Simplify right side
    4,946.25x = 50,203,424.57
  5. Step 5: Solve for x
    x = 50,203,424.57/4,946.25
  6. Step 6: Final answer
    x = 10,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.