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Finding the Third Proportional to 24,171.75 and 51,104.25

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Solution

The third proportional to 24,171.75 and 51,104.25 is: 108,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171.75 : 51,104.25 = 51,104.25 : x
  2. Step 2: Convert to fraction form
    24,171.75/51,104.25 = 51,104.25/x
  3. Step 3: Cross multiply
    24,171.75x = 51,104.25 × 51,104.25
  4. Step 4: Simplify right side
    24,171.75x = 2,611,644,368.06
  5. Step 5: Solve for x
    x = 2,611,644,368.06/24,171.75
  6. Step 6: Final answer
    x = 108,045.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.