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Finding the Third Proportional to 18,137 and 36,784

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Solution

The third proportional to 18,137 and 36,784 is: 74,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137 : 36,784 = 36,784 : x
  2. Step 2: Convert to fraction form
    18,137/36,784 = 36,784/x
  3. Step 3: Cross multiply
    18,137x = 36,784 × 36,784
  4. Step 4: Simplify right side
    18,137x = 1,353,062,656
  5. Step 5: Solve for x
    x = 1,353,062,656/18,137
  6. Step 6: Final answer
    x = 74,602.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.