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Finding the Third Proportional to 53,947.13 and 80,921.63

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Solution

The third proportional to 53,947.13 and 80,921.63 is: 121,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,947.13 : 80,921.63 = 80,921.63 : x
  2. Step 2: Convert to fraction form
    53,947.13/80,921.63 = 80,921.63/x
  3. Step 3: Cross multiply
    53,947.13x = 80,921.63 × 80,921.63
  4. Step 4: Simplify right side
    53,947.13x = 6,548,309,392.64
  5. Step 5: Solve for x
    x = 6,548,309,392.64/53,947.13
  6. Step 6: Final answer
    x = 121,383.84

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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.