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Finding the Third Proportional to 1,946.53 and 4,213.27

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Solution

The third proportional to 1,946.53 and 4,213.27 is: 9,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.53 : 4,213.27 = 4,213.27 : x
  2. Step 2: Convert to fraction form
    1,946.53/4,213.27 = 4,213.27/x
  3. Step 3: Cross multiply
    1,946.53x = 4,213.27 × 4,213.27
  4. Step 4: Simplify right side
    1,946.53x = 17,751,607.23
  5. Step 5: Solve for x
    x = 17,751,607.23/1,946.53
  6. Step 6: Final answer
    x = 9,119.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.