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Finding the Third Proportional to 5,514.75 and 8,416.41

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Solution

The third proportional to 5,514.75 and 8,416.41 is: 12,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.75 : 8,416.41 = 8,416.41 : x
  2. Step 2: Convert to fraction form
    5,514.75/8,416.41 = 8,416.41/x
  3. Step 3: Cross multiply
    5,514.75x = 8,416.41 × 8,416.41
  4. Step 4: Simplify right side
    5,514.75x = 70,835,894.17
  5. Step 5: Solve for x
    x = 70,835,894.17/5,514.75
  6. Step 6: Final answer
    x = 12,844.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.