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Finding the Third Proportional to 1,445.06 and 3,016.69

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Solution

The third proportional to 1,445.06 and 3,016.69 is: 6,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.06 : 3,016.69 = 3,016.69 : x
  2. Step 2: Convert to fraction form
    1,445.06/3,016.69 = 3,016.69/x
  3. Step 3: Cross multiply
    1,445.06x = 3,016.69 × 3,016.69
  4. Step 4: Simplify right side
    1,445.06x = 9,100,403.47
  5. Step 5: Solve for x
    x = 9,100,403.47/1,445.06
  6. Step 6: Final answer
    x = 6,297.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.