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Finding the Third Proportional to 47,652 and 71,388

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Solution

The third proportional to 47,652 and 71,388 is: 106,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 71,388 = 71,388 : x
  2. Step 2: Convert to fraction form
    47,652/71,388 = 71,388/x
  3. Step 3: Cross multiply
    47,652x = 71,388 × 71,388
  4. Step 4: Simplify right side
    47,652x = 5,096,246,544
  5. Step 5: Solve for x
    x = 5,096,246,544/47,652
  6. Step 6: Final answer
    x = 106,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.