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Finding the Third Proportional to 8,676 and 18,902.25

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Solution

The third proportional to 8,676 and 18,902.25 is: 41,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676 : 18,902.25 = 18,902.25 : x
  2. Step 2: Convert to fraction form
    8,676/18,902.25 = 18,902.25/x
  3. Step 3: Cross multiply
    8,676x = 18,902.25 × 18,902.25
  4. Step 4: Simplify right side
    8,676x = 357,295,055.06
  5. Step 5: Solve for x
    x = 357,295,055.06/8,676
  6. Step 6: Final answer
    x = 41,182.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.