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Finding the Third Proportional to 3,083.63 and 4,688.44

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Solution

The third proportional to 3,083.63 and 4,688.44 is: 7,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.63 : 4,688.44 = 4,688.44 : x
  2. Step 2: Convert to fraction form
    3,083.63/4,688.44 = 4,688.44/x
  3. Step 3: Cross multiply
    3,083.63x = 4,688.44 × 4,688.44
  4. Step 4: Simplify right side
    3,083.63x = 21,981,446.19
  5. Step 5: Solve for x
    x = 21,981,446.19/3,083.63
  6. Step 6: Final answer
    x = 7,128.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.