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Finding the Third Proportional to 1,120.50 and 1,729.69

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Solution

The third proportional to 1,120.50 and 1,729.69 is: 2,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.50 : 1,729.69 = 1,729.69 : x
  2. Step 2: Convert to fraction form
    1,120.50/1,729.69 = 1,729.69/x
  3. Step 3: Cross multiply
    1,120.50x = 1,729.69 × 1,729.69
  4. Step 4: Simplify right side
    1,120.50x = 2,991,818.85
  5. Step 5: Solve for x
    x = 2,991,818.85/1,120.50
  6. Step 6: Final answer
    x = 2,670.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.