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Finding the Third Proportional to 2,416.50 and 4,519.13

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Solution

The third proportional to 2,416.50 and 4,519.13 is: 8,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 4,519.13 = 4,519.13 : x
  2. Step 2: Convert to fraction form
    2,416.50/4,519.13 = 4,519.13/x
  3. Step 3: Cross multiply
    2,416.50x = 4,519.13 × 4,519.13
  4. Step 4: Simplify right side
    2,416.50x = 20,422,490.77
  5. Step 5: Solve for x
    x = 20,422,490.77/2,416.50
  6. Step 6: Final answer
    x = 8,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.