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Finding the Third Proportional to 1,673.72 and 2,505.66

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Solution

The third proportional to 1,673.72 and 2,505.66 is: 3,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.72 : 2,505.66 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    1,673.72/2,505.66 = 2,505.66/x
  3. Step 3: Cross multiply
    1,673.72x = 2,505.66 × 2,505.66
  4. Step 4: Simplify right side
    1,673.72x = 6,278,313.24
  5. Step 5: Solve for x
    x = 6,278,313.24/1,673.72
  6. Step 6: Final answer
    x = 3,751.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.