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Finding the Third Proportional to 50,649 and 72,955.50

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Solution

The third proportional to 50,649 and 72,955.50 is: 105,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649 : 72,955.50 = 72,955.50 : x
  2. Step 2: Convert to fraction form
    50,649/72,955.50 = 72,955.50/x
  3. Step 3: Cross multiply
    50,649x = 72,955.50 × 72,955.50
  4. Step 4: Simplify right side
    50,649x = 5,322,504,980.25
  5. Step 5: Solve for x
    x = 5,322,504,980.25/50,649
  6. Step 6: Final answer
    x = 105,086.08

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.