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Finding the Third Proportional to 1,726.31 and 2,351.81

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Solution

The third proportional to 1,726.31 and 2,351.81 is: 3,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.31 : 2,351.81 = 2,351.81 : x
  2. Step 2: Convert to fraction form
    1,726.31/2,351.81 = 2,351.81/x
  3. Step 3: Cross multiply
    1,726.31x = 2,351.81 × 2,351.81
  4. Step 4: Simplify right side
    1,726.31x = 5,531,022.04
  5. Step 5: Solve for x
    x = 5,531,022.04/1,726.31
  6. Step 6: Final answer
    x = 3,203.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.