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Finding the Third Proportional to 21,777.19 and 50,356.69

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Solution

The third proportional to 21,777.19 and 50,356.69 is: 116,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.19 : 50,356.69 = 50,356.69 : x
  2. Step 2: Convert to fraction form
    21,777.19/50,356.69 = 50,356.69/x
  3. Step 3: Cross multiply
    21,777.19x = 50,356.69 × 50,356.69
  4. Step 4: Simplify right side
    21,777.19x = 2,535,795,975.97
  5. Step 5: Solve for x
    x = 2,535,795,975.97/21,777.19
  6. Step 6: Final answer
    x = 116,442.77

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.