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Finding the Third Proportional to 9,387.56 and 20,408.63

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Solution

The third proportional to 9,387.56 and 20,408.63 is: 44,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.56 : 20,408.63 = 20,408.63 : x
  2. Step 2: Convert to fraction form
    9,387.56/20,408.63 = 20,408.63/x
  3. Step 3: Cross multiply
    9,387.56x = 20,408.63 × 20,408.63
  4. Step 4: Simplify right side
    9,387.56x = 416,511,974.39
  5. Step 5: Solve for x
    x = 416,511,974.39/9,387.56
  6. Step 6: Final answer
    x = 44,368.49

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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.