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Finding the Third Proportional to 47,322.56 and 72,736.31

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Solution

The third proportional to 47,322.56 and 72,736.31 is: 111,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.56 : 72,736.31 = 72,736.31 : x
  2. Step 2: Convert to fraction form
    47,322.56/72,736.31 = 72,736.31/x
  3. Step 3: Cross multiply
    47,322.56x = 72,736.31 × 72,736.31
  4. Step 4: Simplify right side
    47,322.56x = 5,290,571,156.10
  5. Step 5: Solve for x
    x = 5,290,571,156.10/47,322.56
  6. Step 6: Final answer
    x = 111,798.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.