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Finding the Third Proportional to 33,664 and 47,202

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Solution

The third proportional to 33,664 and 47,202 is: 66,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664 : 47,202 = 47,202 : x
  2. Step 2: Convert to fraction form
    33,664/47,202 = 47,202/x
  3. Step 3: Cross multiply
    33,664x = 47,202 × 47,202
  4. Step 4: Simplify right side
    33,664x = 2,228,028,804
  5. Step 5: Solve for x
    x = 2,228,028,804/33,664
  6. Step 6: Final answer
    x = 66,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.