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Finding the Third Proportional to 9,573 and 21,033.38

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Solution

The third proportional to 9,573 and 21,033.38 is: 46,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 21,033.38 = 21,033.38 : x
  2. Step 2: Convert to fraction form
    9,573/21,033.38 = 21,033.38/x
  3. Step 3: Cross multiply
    9,573x = 21,033.38 × 21,033.38
  4. Step 4: Simplify right side
    9,573x = 442,402,863.89
  5. Step 5: Solve for x
    x = 442,402,863.89/9,573
  6. Step 6: Final answer
    x = 46,213.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.