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Finding the Third Proportional to 23,145.75 and 50,384.53

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Solution

The third proportional to 23,145.75 and 50,384.53 is: 109,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 50,384.53 = 50,384.53 : x
  2. Step 2: Convert to fraction form
    23,145.75/50,384.53 = 50,384.53/x
  3. Step 3: Cross multiply
    23,145.75x = 50,384.53 × 50,384.53
  4. Step 4: Simplify right side
    23,145.75x = 2,538,600,989.28
  5. Step 5: Solve for x
    x = 2,538,600,989.28/23,145.75
  6. Step 6: Final answer
    x = 109,678.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.