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Finding the Third Proportional to 2,355.01 and 3,448.51

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Solution

The third proportional to 2,355.01 and 3,448.51 is: 5,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.01 : 3,448.51 = 3,448.51 : x
  2. Step 2: Convert to fraction form
    2,355.01/3,448.51 = 3,448.51/x
  3. Step 3: Cross multiply
    2,355.01x = 3,448.51 × 3,448.51
  4. Step 4: Simplify right side
    2,355.01x = 11,892,233.07
  5. Step 5: Solve for x
    x = 11,892,233.07/2,355.01
  6. Step 6: Final answer
    x = 5,049.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.