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Finding the Third Proportional to 23,922 and 55,599.75

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Solution

The third proportional to 23,922 and 55,599.75 is: 129,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922 : 55,599.75 = 55,599.75 : x
  2. Step 2: Convert to fraction form
    23,922/55,599.75 = 55,599.75/x
  3. Step 3: Cross multiply
    23,922x = 55,599.75 × 55,599.75
  4. Step 4: Simplify right side
    23,922x = 3,091,332,200.06
  5. Step 5: Solve for x
    x = 3,091,332,200.06/23,922
  6. Step 6: Final answer
    x = 129,225.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.