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Finding the Third Proportional to 10,768.57 and 23,660.86

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Solution

The third proportional to 10,768.57 and 23,660.86 is: 51,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.57 : 23,660.86 = 23,660.86 : x
  2. Step 2: Convert to fraction form
    10,768.57/23,660.86 = 23,660.86/x
  3. Step 3: Cross multiply
    10,768.57x = 23,660.86 × 23,660.86
  4. Step 4: Simplify right side
    10,768.57x = 559,836,266.36
  5. Step 5: Solve for x
    x = 559,836,266.36/10,768.57
  6. Step 6: Final answer
    x = 51,987.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.