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Finding the Third Proportional to 1,459.88 and 3,203.25

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Solution

The third proportional to 1,459.88 and 3,203.25 is: 7,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.88 : 3,203.25 = 3,203.25 : x
  2. Step 2: Convert to fraction form
    1,459.88/3,203.25 = 3,203.25/x
  3. Step 3: Cross multiply
    1,459.88x = 3,203.25 × 3,203.25
  4. Step 4: Simplify right side
    1,459.88x = 10,260,810.56
  5. Step 5: Solve for x
    x = 10,260,810.56/1,459.88
  6. Step 6: Final answer
    x = 7,028.55

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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.