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Finding the Third Proportional to 1,242.56 and 2,633.06

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Solution

The third proportional to 1,242.56 and 2,633.06 is: 5,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.56 : 2,633.06 = 2,633.06 : x
  2. Step 2: Convert to fraction form
    1,242.56/2,633.06 = 2,633.06/x
  3. Step 3: Cross multiply
    1,242.56x = 2,633.06 × 2,633.06
  4. Step 4: Simplify right side
    1,242.56x = 6,933,018.13
  5. Step 5: Solve for x
    x = 6,933,018.13/1,242.56
  6. Step 6: Final answer
    x = 5,579.61

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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.