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Finding the Third Proportional to 8,047.69 and 18,918.56

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Solution

The third proportional to 8,047.69 and 18,918.56 is: 44,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.69 : 18,918.56 = 18,918.56 : x
  2. Step 2: Convert to fraction form
    8,047.69/18,918.56 = 18,918.56/x
  3. Step 3: Cross multiply
    8,047.69x = 18,918.56 × 18,918.56
  4. Step 4: Simplify right side
    8,047.69x = 357,912,007.07
  5. Step 5: Solve for x
    x = 357,912,007.07/8,047.69
  6. Step 6: Final answer
    x = 44,473.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.