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Finding the Third Proportional to 11,676 and 18,784

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Solution

The third proportional to 11,676 and 18,784 is: 30,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 18,784 = 18,784 : x
  2. Step 2: Convert to fraction form
    11,676/18,784 = 18,784/x
  3. Step 3: Cross multiply
    11,676x = 18,784 × 18,784
  4. Step 4: Simplify right side
    11,676x = 352,838,656
  5. Step 5: Solve for x
    x = 352,838,656/11,676
  6. Step 6: Final answer
    x = 30,219.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.