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Finding the Third Proportional to 9,380.18 and 19,836.77

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Solution

The third proportional to 9,380.18 and 19,836.77 is: 41,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.18 : 19,836.77 = 19,836.77 : x
  2. Step 2: Convert to fraction form
    9,380.18/19,836.77 = 19,836.77/x
  3. Step 3: Cross multiply
    9,380.18x = 19,836.77 × 19,836.77
  4. Step 4: Simplify right side
    9,380.18x = 393,497,580.41
  5. Step 5: Solve for x
    x = 393,497,580.41/9,380.18
  6. Step 6: Final answer
    x = 41,949.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.