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Finding the Third Proportional to 5,484.59 and 11,994.33

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Solution

The third proportional to 5,484.59 and 11,994.33 is: 26,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.59 : 11,994.33 = 11,994.33 : x
  2. Step 2: Convert to fraction form
    5,484.59/11,994.33 = 11,994.33/x
  3. Step 3: Cross multiply
    5,484.59x = 11,994.33 × 11,994.33
  4. Step 4: Simplify right side
    5,484.59x = 143,863,907.17
  5. Step 5: Solve for x
    x = 143,863,907.17/5,484.59
  6. Step 6: Final answer
    x = 26,230.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.