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Finding the Third Proportional to 11,766 and 18,297

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Solution

The third proportional to 11,766 and 18,297 is: 28,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 18,297 = 18,297 : x
  2. Step 2: Convert to fraction form
    11,766/18,297 = 18,297/x
  3. Step 3: Cross multiply
    11,766x = 18,297 × 18,297
  4. Step 4: Simplify right side
    11,766x = 334,780,209
  5. Step 5: Solve for x
    x = 334,780,209/11,766
  6. Step 6: Final answer
    x = 28,453.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.