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Finding the Third Proportional to 1,538.06 and 3,364.69

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Solution

The third proportional to 1,538.06 and 3,364.69 is: 7,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.06 : 3,364.69 = 3,364.69 : x
  2. Step 2: Convert to fraction form
    1,538.06/3,364.69 = 3,364.69/x
  3. Step 3: Cross multiply
    1,538.06x = 3,364.69 × 3,364.69
  4. Step 4: Simplify right side
    1,538.06x = 11,321,121.97
  5. Step 5: Solve for x
    x = 11,321,121.97/1,538.06
  6. Step 6: Final answer
    x = 7,360.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.