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Finding the Third Proportional to 36,900 and 80,784

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Solution

The third proportional to 36,900 and 80,784 is: 176,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,900 : 80,784 = 80,784 : x
  2. Step 2: Convert to fraction form
    36,900/80,784 = 80,784/x
  3. Step 3: Cross multiply
    36,900x = 80,784 × 80,784
  4. Step 4: Simplify right side
    36,900x = 6,526,054,656
  5. Step 5: Solve for x
    x = 6,526,054,656/36,900
  6. Step 6: Final answer
    x = 176,857.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.