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Finding the Third Proportional to 8,714.25 and 18,825.75

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Solution

The third proportional to 8,714.25 and 18,825.75 is: 40,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.25 : 18,825.75 = 18,825.75 : x
  2. Step 2: Convert to fraction form
    8,714.25/18,825.75 = 18,825.75/x
  3. Step 3: Cross multiply
    8,714.25x = 18,825.75 × 18,825.75
  4. Step 4: Simplify right side
    8,714.25x = 354,408,863.06
  5. Step 5: Solve for x
    x = 354,408,863.06/8,714.25
  6. Step 6: Final answer
    x = 40,670.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.