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Finding the Third Proportional to 7,119.56 and 16,556.06

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Solution

The third proportional to 7,119.56 and 16,556.06 is: 38,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.56 : 16,556.06 = 16,556.06 : x
  2. Step 2: Convert to fraction form
    7,119.56/16,556.06 = 16,556.06/x
  3. Step 3: Cross multiply
    7,119.56x = 16,556.06 × 16,556.06
  4. Step 4: Simplify right side
    7,119.56x = 274,103,205.50
  5. Step 5: Solve for x
    x = 274,103,205.50/7,119.56
  6. Step 6: Final answer
    x = 38,500.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.