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Finding the Third Proportional to 2,504 and 6,416

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Solution

The third proportional to 2,504 and 6,416 is: 16,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504 : 6,416 = 6,416 : x
  2. Step 2: Convert to fraction form
    2,504/6,416 = 6,416/x
  3. Step 3: Cross multiply
    2,504x = 6,416 × 6,416
  4. Step 4: Simplify right side
    2,504x = 41,165,056
  5. Step 5: Solve for x
    x = 41,165,056/2,504
  6. Step 6: Final answer
    x = 16,439.72

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.