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Finding the Third Proportional to 7,407.70 and 16,074.07

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Solution

The third proportional to 7,407.70 and 16,074.07 is: 34,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.70 : 16,074.07 = 16,074.07 : x
  2. Step 2: Convert to fraction form
    7,407.70/16,074.07 = 16,074.07/x
  3. Step 3: Cross multiply
    7,407.70x = 16,074.07 × 16,074.07
  4. Step 4: Simplify right side
    7,407.70x = 258,375,736.41
  5. Step 5: Solve for x
    x = 258,375,736.41/7,407.70
  6. Step 6: Final answer
    x = 34,879.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.