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Finding the Third Proportional to 1,175.34 and 1,933.88

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Solution

The third proportional to 1,175.34 and 1,933.88 is: 3,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.34 : 1,933.88 = 1,933.88 : x
  2. Step 2: Convert to fraction form
    1,175.34/1,933.88 = 1,933.88/x
  3. Step 3: Cross multiply
    1,175.34x = 1,933.88 × 1,933.88
  4. Step 4: Simplify right side
    1,175.34x = 3,739,872.52
  5. Step 5: Solve for x
    x = 3,739,872.52/1,175.34
  6. Step 6: Final answer
    x = 3,181.94

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.