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Finding the Third Proportional to 1,946.53 and 4,199.34

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Solution

The third proportional to 1,946.53 and 4,199.34 is: 9,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.53 : 4,199.34 = 4,199.34 : x
  2. Step 2: Convert to fraction form
    1,946.53/4,199.34 = 4,199.34/x
  3. Step 3: Cross multiply
    1,946.53x = 4,199.34 × 4,199.34
  4. Step 4: Simplify right side
    1,946.53x = 17,634,487.93
  5. Step 5: Solve for x
    x = 17,634,487.93/1,946.53
  6. Step 6: Final answer
    x = 9,059.44

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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.