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Finding the Third Proportional to 4,476.44 and 9,486.47

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Solution

The third proportional to 4,476.44 and 9,486.47 is: 20,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.44 : 9,486.47 = 9,486.47 : x
  2. Step 2: Convert to fraction form
    4,476.44/9,486.47 = 9,486.47/x
  3. Step 3: Cross multiply
    4,476.44x = 9,486.47 × 9,486.47
  4. Step 4: Simplify right side
    4,476.44x = 89,993,089.34
  5. Step 5: Solve for x
    x = 89,993,089.34/4,476.44
  6. Step 6: Final answer
    x = 20,103.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.