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Finding the Third Proportional to 7,416 and 16,245

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Solution

The third proportional to 7,416 and 16,245 is: 35,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 16,245 = 16,245 : x
  2. Step 2: Convert to fraction form
    7,416/16,245 = 16,245/x
  3. Step 3: Cross multiply
    7,416x = 16,245 × 16,245
  4. Step 4: Simplify right side
    7,416x = 263,900,025
  5. Step 5: Solve for x
    x = 263,900,025/7,416
  6. Step 6: Final answer
    x = 35,585.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.