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Finding the Third Proportional to 2,597.06 and 5,433.33

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Solution

The third proportional to 2,597.06 and 5,433.33 is: 11,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.06 : 5,433.33 = 5,433.33 : x
  2. Step 2: Convert to fraction form
    2,597.06/5,433.33 = 5,433.33/x
  3. Step 3: Cross multiply
    2,597.06x = 5,433.33 × 5,433.33
  4. Step 4: Simplify right side
    2,597.06x = 29,521,054.51
  5. Step 5: Solve for x
    x = 29,521,054.51/2,597.06
  6. Step 6: Final answer
    x = 11,367.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.