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Finding the Third Proportional to 1,726.31 and 3,043.69

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Solution

The third proportional to 1,726.31 and 3,043.69 is: 5,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.31 : 3,043.69 = 3,043.69 : x
  2. Step 2: Convert to fraction form
    1,726.31/3,043.69 = 3,043.69/x
  3. Step 3: Cross multiply
    1,726.31x = 3,043.69 × 3,043.69
  4. Step 4: Simplify right side
    1,726.31x = 9,264,033.60
  5. Step 5: Solve for x
    x = 9,264,033.60/1,726.31
  6. Step 6: Final answer
    x = 5,366.37

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.