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Finding the Third Proportional to 3,022.31 and 4,668.26

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Solution

The third proportional to 3,022.31 and 4,668.26 is: 7,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.31 : 4,668.26 = 4,668.26 : x
  2. Step 2: Convert to fraction form
    3,022.31/4,668.26 = 4,668.26/x
  3. Step 3: Cross multiply
    3,022.31x = 4,668.26 × 4,668.26
  4. Step 4: Simplify right side
    3,022.31x = 21,792,631.00
  5. Step 5: Solve for x
    x = 21,792,631.00/3,022.31
  6. Step 6: Final answer
    x = 7,210.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.