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Finding the Third Proportional to 1,784.44 and 3,683.63

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Solution

The third proportional to 1,784.44 and 3,683.63 is: 7,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.44 : 3,683.63 = 3,683.63 : x
  2. Step 2: Convert to fraction form
    1,784.44/3,683.63 = 3,683.63/x
  3. Step 3: Cross multiply
    1,784.44x = 3,683.63 × 3,683.63
  4. Step 4: Simplify right side
    1,784.44x = 13,569,093.14
  5. Step 5: Solve for x
    x = 13,569,093.14/1,784.44
  6. Step 6: Final answer
    x = 7,604.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.