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Finding the Third Proportional to 9,100.69 and 19,294.31

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Solution

The third proportional to 9,100.69 and 19,294.31 is: 40,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.69 : 19,294.31 = 19,294.31 : x
  2. Step 2: Convert to fraction form
    9,100.69/19,294.31 = 19,294.31/x
  3. Step 3: Cross multiply
    9,100.69x = 19,294.31 × 19,294.31
  4. Step 4: Simplify right side
    9,100.69x = 372,270,494.85
  5. Step 5: Solve for x
    x = 372,270,494.85/9,100.69
  6. Step 6: Final answer
    x = 40,905.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.