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Finding the Third Proportional to 1,208.25 and 2,649.98

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Solution

The third proportional to 1,208.25 and 2,649.98 is: 5,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.25 : 2,649.98 = 2,649.98 : x
  2. Step 2: Convert to fraction form
    1,208.25/2,649.98 = 2,649.98/x
  3. Step 3: Cross multiply
    1,208.25x = 2,649.98 × 2,649.98
  4. Step 4: Simplify right side
    1,208.25x = 7,022,417.19
  5. Step 5: Solve for x
    x = 7,022,417.19/1,208.25
  6. Step 6: Final answer
    x = 5,812.06

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Why These Related Problems?

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