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Finding the Third Proportional to 9,206 and 18,772

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Solution

The third proportional to 9,206 and 18,772 is: 38,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 18,772 = 18,772 : x
  2. Step 2: Convert to fraction form
    9,206/18,772 = 18,772/x
  3. Step 3: Cross multiply
    9,206x = 18,772 × 18,772
  4. Step 4: Simplify right side
    9,206x = 352,387,984
  5. Step 5: Solve for x
    x = 352,387,984/9,206
  6. Step 6: Final answer
    x = 38,278.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.