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Finding the Third Proportional to 9,180 and 18,786

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Solution

The third proportional to 9,180 and 18,786 is: 38,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 18,786 = 18,786 : x
  2. Step 2: Convert to fraction form
    9,180/18,786 = 18,786/x
  3. Step 3: Cross multiply
    9,180x = 18,786 × 18,786
  4. Step 4: Simplify right side
    9,180x = 352,913,796
  5. Step 5: Solve for x
    x = 352,913,796/9,180
  6. Step 6: Final answer
    x = 38,443.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.