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Finding the Third Proportional to 9,627 and 19,899.75

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Solution

The third proportional to 9,627 and 19,899.75 is: 41,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627 : 19,899.75 = 19,899.75 : x
  2. Step 2: Convert to fraction form
    9,627/19,899.75 = 19,899.75/x
  3. Step 3: Cross multiply
    9,627x = 19,899.75 × 19,899.75
  4. Step 4: Simplify right side
    9,627x = 396,000,050.06
  5. Step 5: Solve for x
    x = 396,000,050.06/9,627
  6. Step 6: Final answer
    x = 41,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.