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Finding the Third Proportional to 1,887.19 and 4,138.97

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Solution

The third proportional to 1,887.19 and 4,138.97 is: 9,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.19 : 4,138.97 = 4,138.97 : x
  2. Step 2: Convert to fraction form
    1,887.19/4,138.97 = 4,138.97/x
  3. Step 3: Cross multiply
    1,887.19x = 4,138.97 × 4,138.97
  4. Step 4: Simplify right side
    1,887.19x = 17,131,062.31
  5. Step 5: Solve for x
    x = 17,131,062.31/1,887.19
  6. Step 6: Final answer
    x = 9,077.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.