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Finding the Third Proportional to 9,537.75 and 18,817.31

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Solution

The third proportional to 9,537.75 and 18,817.31 is: 37,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 18,817.31 = 18,817.31 : x
  2. Step 2: Convert to fraction form
    9,537.75/18,817.31 = 18,817.31/x
  3. Step 3: Cross multiply
    9,537.75x = 18,817.31 × 18,817.31
  4. Step 4: Simplify right side
    9,537.75x = 354,091,249.72
  5. Step 5: Solve for x
    x = 354,091,249.72/9,537.75
  6. Step 6: Final answer
    x = 37,125.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.