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Finding the Third Proportional to 1,173.87 and 2,729.64

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Solution

The third proportional to 1,173.87 and 2,729.64 is: 6,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.87 : 2,729.64 = 2,729.64 : x
  2. Step 2: Convert to fraction form
    1,173.87/2,729.64 = 2,729.64/x
  3. Step 3: Cross multiply
    1,173.87x = 2,729.64 × 2,729.64
  4. Step 4: Simplify right side
    1,173.87x = 7,450,916.62
  5. Step 5: Solve for x
    x = 7,450,916.62/1,173.87
  6. Step 6: Final answer
    x = 6,347.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.