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Finding the Third Proportional to 1,486.83 and 3,238.45

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Solution

The third proportional to 1,486.83 and 3,238.45 is: 7,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.83 : 3,238.45 = 3,238.45 : x
  2. Step 2: Convert to fraction form
    1,486.83/3,238.45 = 3,238.45/x
  3. Step 3: Cross multiply
    1,486.83x = 3,238.45 × 3,238.45
  4. Step 4: Simplify right side
    1,486.83x = 10,487,578.64
  5. Step 5: Solve for x
    x = 10,487,578.64/1,486.83
  6. Step 6: Final answer
    x = 7,053.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.