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Finding the Third Proportional to 1,726.73 and 3,726.42

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Solution

The third proportional to 1,726.73 and 3,726.42 is: 8,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.73 : 3,726.42 = 3,726.42 : x
  2. Step 2: Convert to fraction form
    1,726.73/3,726.42 = 3,726.42/x
  3. Step 3: Cross multiply
    1,726.73x = 3,726.42 × 3,726.42
  4. Step 4: Simplify right side
    1,726.73x = 13,886,219.99
  5. Step 5: Solve for x
    x = 13,886,219.99/1,726.73
  6. Step 6: Final answer
    x = 8,041.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.