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Finding the Third Proportional to 47,328.50 and 101,947

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Solution

The third proportional to 47,328.50 and 101,947 is: 219,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328.50 : 101,947 = 101,947 : x
  2. Step 2: Convert to fraction form
    47,328.50/101,947 = 101,947/x
  3. Step 3: Cross multiply
    47,328.50x = 101,947 × 101,947
  4. Step 4: Simplify right side
    47,328.50x = 10,393,190,809
  5. Step 5: Solve for x
    x = 10,393,190,809/47,328.50
  6. Step 6: Final answer
    x = 219,596.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.