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Finding the Third Proportional to 27,530 and 58,946

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Solution

The third proportional to 27,530 and 58,946 is: 126,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530 : 58,946 = 58,946 : x
  2. Step 2: Convert to fraction form
    27,530/58,946 = 58,946/x
  3. Step 3: Cross multiply
    27,530x = 58,946 × 58,946
  4. Step 4: Simplify right side
    27,530x = 3,474,630,916
  5. Step 5: Solve for x
    x = 3,474,630,916/27,530
  6. Step 6: Final answer
    x = 126,212.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.