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Finding the Third Proportional to 1,445.06 and 3,322.69

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Solution

The third proportional to 1,445.06 and 3,322.69 is: 7,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.06 : 3,322.69 = 3,322.69 : x
  2. Step 2: Convert to fraction form
    1,445.06/3,322.69 = 3,322.69/x
  3. Step 3: Cross multiply
    1,445.06x = 3,322.69 × 3,322.69
  4. Step 4: Simplify right side
    1,445.06x = 11,040,252.22
  5. Step 5: Solve for x
    x = 11,040,252.22/1,445.06
  6. Step 6: Final answer
    x = 7,639.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.