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Finding the Third Proportional to 3,934.50 and 8,514.75

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Solution

The third proportional to 3,934.50 and 8,514.75 is: 18,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.50 : 8,514.75 = 8,514.75 : x
  2. Step 2: Convert to fraction form
    3,934.50/8,514.75 = 8,514.75/x
  3. Step 3: Cross multiply
    3,934.50x = 8,514.75 × 8,514.75
  4. Step 4: Simplify right side
    3,934.50x = 72,500,967.56
  5. Step 5: Solve for x
    x = 72,500,967.56/3,934.50
  6. Step 6: Final answer
    x = 18,426.98

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