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Finding the Third Proportional to 826.03 and 1,749.94

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Solution

The third proportional to 826.03 and 1,749.94 is: 3,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.03 : 1,749.94 = 1,749.94 : x
  2. Step 2: Convert to fraction form
    826.03/1,749.94 = 1,749.94/x
  3. Step 3: Cross multiply
    826.03x = 1,749.94 × 1,749.94
  4. Step 4: Simplify right side
    826.03x = 3,062,281.25
  5. Step 5: Solve for x
    x = 3,062,281.25/826.03
  6. Step 6: Final answer
    x = 3,707.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.