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Finding the Third Proportional to 36,530 and 79,758

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Solution

The third proportional to 36,530 and 79,758 is: 174,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,530 : 79,758 = 79,758 : x
  2. Step 2: Convert to fraction form
    36,530/79,758 = 79,758/x
  3. Step 3: Cross multiply
    36,530x = 79,758 × 79,758
  4. Step 4: Simplify right side
    36,530x = 6,361,338,564
  5. Step 5: Solve for x
    x = 6,361,338,564/36,530
  6. Step 6: Final answer
    x = 174,140.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.