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Finding the Third Proportional to 7,416.38 and 16,200.38

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Solution

The third proportional to 7,416.38 and 16,200.38 is: 35,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.38 : 16,200.38 = 16,200.38 : x
  2. Step 2: Convert to fraction form
    7,416.38/16,200.38 = 16,200.38/x
  3. Step 3: Cross multiply
    7,416.38x = 16,200.38 × 16,200.38
  4. Step 4: Simplify right side
    7,416.38x = 262,452,150.14
  5. Step 5: Solve for x
    x = 262,452,150.14/7,416.38
  6. Step 6: Final answer
    x = 35,388.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.