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Finding the Third Proportional to 9,208.69 and 18,462.94

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Solution

The third proportional to 9,208.69 and 18,462.94 is: 37,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.69 : 18,462.94 = 18,462.94 : x
  2. Step 2: Convert to fraction form
    9,208.69/18,462.94 = 18,462.94/x
  3. Step 3: Cross multiply
    9,208.69x = 18,462.94 × 18,462.94
  4. Step 4: Simplify right side
    9,208.69x = 340,880,061.13
  5. Step 5: Solve for x
    x = 340,880,061.13/9,208.69
  6. Step 6: Final answer
    x = 37,017.23

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.