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Finding the Third Proportional to 1,200.66 and 2,276.02

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Solution

The third proportional to 1,200.66 and 2,276.02 is: 4,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.66 : 2,276.02 = 2,276.02 : x
  2. Step 2: Convert to fraction form
    1,200.66/2,276.02 = 2,276.02/x
  3. Step 3: Cross multiply
    1,200.66x = 2,276.02 × 2,276.02
  4. Step 4: Simplify right side
    1,200.66x = 5,180,247.13
  5. Step 5: Solve for x
    x = 5,180,247.13/1,200.66
  6. Step 6: Final answer
    x = 4,314.51

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.