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Finding the Third Proportional to 826.13 and 1,745.06

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Solution

The third proportional to 826.13 and 1,745.06 is: 3,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,745.06 = 1,745.06 : x
  2. Step 2: Convert to fraction form
    826.13/1,745.06 = 1,745.06/x
  3. Step 3: Cross multiply
    826.13x = 1,745.06 × 1,745.06
  4. Step 4: Simplify right side
    826.13x = 3,045,243.13
  5. Step 5: Solve for x
    x = 3,045,243.13/826.13
  6. Step 6: Final answer
    x = 3,686.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.