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Finding the Third Proportional to 9,408.66 and 20,024.72

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Solution

The third proportional to 9,408.66 and 20,024.72 is: 42,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.66 : 20,024.72 = 20,024.72 : x
  2. Step 2: Convert to fraction form
    9,408.66/20,024.72 = 20,024.72/x
  3. Step 3: Cross multiply
    9,408.66x = 20,024.72 × 20,024.72
  4. Step 4: Simplify right side
    9,408.66x = 400,989,361.02
  5. Step 5: Solve for x
    x = 400,989,361.02/9,408.66
  6. Step 6: Final answer
    x = 42,619.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.