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Finding the Third Proportional to 1,923.12 and 2,724.26

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Solution

The third proportional to 1,923.12 and 2,724.26 is: 3,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.12 : 2,724.26 = 2,724.26 : x
  2. Step 2: Convert to fraction form
    1,923.12/2,724.26 = 2,724.26/x
  3. Step 3: Cross multiply
    1,923.12x = 2,724.26 × 2,724.26
  4. Step 4: Simplify right side
    1,923.12x = 7,421,580.63
  5. Step 5: Solve for x
    x = 7,421,580.63/1,923.12
  6. Step 6: Final answer
    x = 3,859.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.