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Finding the Third Proportional to 1,213.03 and 2,808.56

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Solution

The third proportional to 1,213.03 and 2,808.56 is: 6,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.03 : 2,808.56 = 2,808.56 : x
  2. Step 2: Convert to fraction form
    1,213.03/2,808.56 = 2,808.56/x
  3. Step 3: Cross multiply
    1,213.03x = 2,808.56 × 2,808.56
  4. Step 4: Simplify right side
    1,213.03x = 7,888,023.32
  5. Step 5: Solve for x
    x = 7,888,023.32/1,213.03
  6. Step 6: Final answer
    x = 6,502.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.