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Finding the Third Proportional to 1,883.67 and 4,057.17

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Solution

The third proportional to 1,883.67 and 4,057.17 is: 8,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.67 : 4,057.17 = 4,057.17 : x
  2. Step 2: Convert to fraction form
    1,883.67/4,057.17 = 4,057.17/x
  3. Step 3: Cross multiply
    1,883.67x = 4,057.17 × 4,057.17
  4. Step 4: Simplify right side
    1,883.67x = 16,460,643.62
  5. Step 5: Solve for x
    x = 16,460,643.62/1,883.67
  6. Step 6: Final answer
    x = 8,738.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.