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Finding the Third Proportional to 9,537.75 and 12,084.19

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Solution

The third proportional to 9,537.75 and 12,084.19 is: 15,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 12,084.19 = 12,084.19 : x
  2. Step 2: Convert to fraction form
    9,537.75/12,084.19 = 12,084.19/x
  3. Step 3: Cross multiply
    9,537.75x = 12,084.19 × 12,084.19
  4. Step 4: Simplify right side
    9,537.75x = 146,027,587.54
  5. Step 5: Solve for x
    x = 146,027,587.54/9,537.75
  6. Step 6: Final answer
    x = 15,310.49

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.