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Finding the Third Proportional to 47,750.06 and 72,662.06

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Solution

The third proportional to 47,750.06 and 72,662.06 is: 110,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,750.06 : 72,662.06 = 72,662.06 : x
  2. Step 2: Convert to fraction form
    47,750.06/72,662.06 = 72,662.06/x
  3. Step 3: Cross multiply
    47,750.06x = 72,662.06 × 72,662.06
  4. Step 4: Simplify right side
    47,750.06x = 5,279,775,326.75
  5. Step 5: Solve for x
    x = 5,279,775,326.75/47,750.06
  6. Step 6: Final answer
    x = 110,571.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.