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Finding the Third Proportional to 35,450 and 47,302

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Solution

The third proportional to 35,450 and 47,302 is: 63,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,450 : 47,302 = 47,302 : x
  2. Step 2: Convert to fraction form
    35,450/47,302 = 47,302/x
  3. Step 3: Cross multiply
    35,450x = 47,302 × 47,302
  4. Step 4: Simplify right side
    35,450x = 2,237,479,204
  5. Step 5: Solve for x
    x = 2,237,479,204/35,450
  6. Step 6: Final answer
    x = 63,116.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.