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Finding the Third Proportional to 9,682.03 and 20,827.76

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Solution

The third proportional to 9,682.03 and 20,827.76 is: 44,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 20,827.76 = 20,827.76 : x
  2. Step 2: Convert to fraction form
    9,682.03/20,827.76 = 20,827.76/x
  3. Step 3: Cross multiply
    9,682.03x = 20,827.76 × 20,827.76
  4. Step 4: Simplify right side
    9,682.03x = 433,795,495.50
  5. Step 5: Solve for x
    x = 433,795,495.50/9,682.03
  6. Step 6: Final answer
    x = 44,804.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.