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Finding the Third Proportional to 9,361.13 and 20,133

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Solution

The third proportional to 9,361.13 and 20,133 is: 43,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.13 : 20,133 = 20,133 : x
  2. Step 2: Convert to fraction form
    9,361.13/20,133 = 20,133/x
  3. Step 3: Cross multiply
    9,361.13x = 20,133 × 20,133
  4. Step 4: Simplify right side
    9,361.13x = 405,337,689
  5. Step 5: Solve for x
    x = 405,337,689/9,361.13
  6. Step 6: Final answer
    x = 43,300.10

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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.