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Finding the Third Proportional to 1,817.44 and 2,726.16

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Solution

The third proportional to 1,817.44 and 2,726.16 is: 4,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.44 : 2,726.16 = 2,726.16 : x
  2. Step 2: Convert to fraction form
    1,817.44/2,726.16 = 2,726.16/x
  3. Step 3: Cross multiply
    1,817.44x = 2,726.16 × 2,726.16
  4. Step 4: Simplify right side
    1,817.44x = 7,431,927.90
  5. Step 5: Solve for x
    x = 7,431,927.90/1,817.44
  6. Step 6: Final answer
    x = 4,089.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.