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Finding the Third Proportional to 1,137.66 and 2,372.48

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Solution

The third proportional to 1,137.66 and 2,372.48 is: 4,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.66 : 2,372.48 = 2,372.48 : x
  2. Step 2: Convert to fraction form
    1,137.66/2,372.48 = 2,372.48/x
  3. Step 3: Cross multiply
    1,137.66x = 2,372.48 × 2,372.48
  4. Step 4: Simplify right side
    1,137.66x = 5,628,682.11
  5. Step 5: Solve for x
    x = 5,628,682.11/1,137.66
  6. Step 6: Final answer
    x = 4,947.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.