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Finding the Third Proportional to 47,150 and 64,884

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Solution

The third proportional to 47,150 and 64,884 is: 89,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,150 : 64,884 = 64,884 : x
  2. Step 2: Convert to fraction form
    47,150/64,884 = 64,884/x
  3. Step 3: Cross multiply
    47,150x = 64,884 × 64,884
  4. Step 4: Simplify right side
    47,150x = 4,209,933,456
  5. Step 5: Solve for x
    x = 4,209,933,456/47,150
  6. Step 6: Final answer
    x = 89,288.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.