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Finding the Third Proportional to 46,512 and 67,500

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Solution

The third proportional to 46,512 and 67,500 is: 97,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512 : 67,500 = 67,500 : x
  2. Step 2: Convert to fraction form
    46,512/67,500 = 67,500/x
  3. Step 3: Cross multiply
    46,512x = 67,500 × 67,500
  4. Step 4: Simplify right side
    46,512x = 4,556,250,000
  5. Step 5: Solve for x
    x = 4,556,250,000/46,512
  6. Step 6: Final answer
    x = 97,958.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.