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Finding the Third Proportional to 4,521.94 and 9,818.44

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Solution

The third proportional to 4,521.94 and 9,818.44 is: 21,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.94 : 9,818.44 = 9,818.44 : x
  2. Step 2: Convert to fraction form
    4,521.94/9,818.44 = 9,818.44/x
  3. Step 3: Cross multiply
    4,521.94x = 9,818.44 × 9,818.44
  4. Step 4: Simplify right side
    4,521.94x = 96,401,714.94
  5. Step 5: Solve for x
    x = 96,401,714.94/4,521.94
  6. Step 6: Final answer
    x = 21,318.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.