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Finding the Third Proportional to 1,539.84 and 3,721.36

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Solution

The third proportional to 1,539.84 and 3,721.36 is: 8,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.84 : 3,721.36 = 3,721.36 : x
  2. Step 2: Convert to fraction form
    1,539.84/3,721.36 = 3,721.36/x
  3. Step 3: Cross multiply
    1,539.84x = 3,721.36 × 3,721.36
  4. Step 4: Simplify right side
    1,539.84x = 13,848,515.60
  5. Step 5: Solve for x
    x = 13,848,515.60/1,539.84
  6. Step 6: Final answer
    x = 8,993.46

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.