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Finding the Third Proportional to 1,362.23 and 2,852.72

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Solution

The third proportional to 1,362.23 and 2,852.72 is: 5,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.23 : 2,852.72 = 2,852.72 : x
  2. Step 2: Convert to fraction form
    1,362.23/2,852.72 = 2,852.72/x
  3. Step 3: Cross multiply
    1,362.23x = 2,852.72 × 2,852.72
  4. Step 4: Simplify right side
    1,362.23x = 8,138,004.27
  5. Step 5: Solve for x
    x = 8,138,004.27/1,362.23
  6. Step 6: Final answer
    x = 5,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.