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Finding the Third Proportional to 1,208.04 and 2,649.59

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Solution

The third proportional to 1,208.04 and 2,649.59 is: 5,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.04 : 2,649.59 = 2,649.59 : x
  2. Step 2: Convert to fraction form
    1,208.04/2,649.59 = 2,649.59/x
  3. Step 3: Cross multiply
    1,208.04x = 2,649.59 × 2,649.59
  4. Step 4: Simplify right side
    1,208.04x = 7,020,305.64
  5. Step 5: Solve for x
    x = 7,020,305.64/1,208.04
  6. Step 6: Final answer
    x = 5,811.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.