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Finding the Third Proportional to 9,537.75 and 22,056.05

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Solution

The third proportional to 9,537.75 and 22,056.05 is: 51,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 22,056.05 = 22,056.05 : x
  2. Step 2: Convert to fraction form
    9,537.75/22,056.05 = 22,056.05/x
  3. Step 3: Cross multiply
    9,537.75x = 22,056.05 × 22,056.05
  4. Step 4: Simplify right side
    9,537.75x = 486,469,203.75
  5. Step 5: Solve for x
    x = 486,469,203.75/9,537.75
  6. Step 6: Final answer
    x = 51,004.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.