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Finding the Third Proportional to 1,273 and 2,028.25

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Solution

The third proportional to 1,273 and 2,028.25 is: 3,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273 : 2,028.25 = 2,028.25 : x
  2. Step 2: Convert to fraction form
    1,273/2,028.25 = 2,028.25/x
  3. Step 3: Cross multiply
    1,273x = 2,028.25 × 2,028.25
  4. Step 4: Simplify right side
    1,273x = 4,113,798.06
  5. Step 5: Solve for x
    x = 4,113,798.06/1,273
  6. Step 6: Final answer
    x = 3,231.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.