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Finding the Third Proportional to 7,416.75 and 16,201.13

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Solution

The third proportional to 7,416.75 and 16,201.13 is: 35,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.75 : 16,201.13 = 16,201.13 : x
  2. Step 2: Convert to fraction form
    7,416.75/16,201.13 = 16,201.13/x
  3. Step 3: Cross multiply
    7,416.75x = 16,201.13 × 16,201.13
  4. Step 4: Simplify right side
    7,416.75x = 262,476,451.27
  5. Step 5: Solve for x
    x = 262,476,451.27/7,416.75
  6. Step 6: Final answer
    x = 35,389.69

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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.