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Finding the Third Proportional to 1,412.81 and 2,865.56

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Solution

The third proportional to 1,412.81 and 2,865.56 is: 5,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.81 : 2,865.56 = 2,865.56 : x
  2. Step 2: Convert to fraction form
    1,412.81/2,865.56 = 2,865.56/x
  3. Step 3: Cross multiply
    1,412.81x = 2,865.56 × 2,865.56
  4. Step 4: Simplify right side
    1,412.81x = 8,211,448.44
  5. Step 5: Solve for x
    x = 8,211,448.44/1,412.81
  6. Step 6: Final answer
    x = 5,812.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.