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Finding the Third Proportional to 5,556 and 13,114.69

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Solution

The third proportional to 5,556 and 13,114.69 is: 30,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556 : 13,114.69 = 13,114.69 : x
  2. Step 2: Convert to fraction form
    5,556/13,114.69 = 13,114.69/x
  3. Step 3: Cross multiply
    5,556x = 13,114.69 × 13,114.69
  4. Step 4: Simplify right side
    5,556x = 171,995,028.22
  5. Step 5: Solve for x
    x = 171,995,028.22/5,556
  6. Step 6: Final answer
    x = 30,956.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.