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Finding the Third Proportional to 9,591.19 and 20,514.94

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Solution

The third proportional to 9,591.19 and 20,514.94 is: 43,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.19 : 20,514.94 = 20,514.94 : x
  2. Step 2: Convert to fraction form
    9,591.19/20,514.94 = 20,514.94/x
  3. Step 3: Cross multiply
    9,591.19x = 20,514.94 × 20,514.94
  4. Step 4: Simplify right side
    9,591.19x = 420,862,660.63
  5. Step 5: Solve for x
    x = 420,862,660.63/9,591.19
  6. Step 6: Final answer
    x = 43,880.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.