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Finding the Third Proportional to 23,848.50 and 51,794.25

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Solution

The third proportional to 23,848.50 and 51,794.25 is: 112,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.50 : 51,794.25 = 51,794.25 : x
  2. Step 2: Convert to fraction form
    23,848.50/51,794.25 = 51,794.25/x
  3. Step 3: Cross multiply
    23,848.50x = 51,794.25 × 51,794.25
  4. Step 4: Simplify right side
    23,848.50x = 2,682,644,333.06
  5. Step 5: Solve for x
    x = 2,682,644,333.06/23,848.50
  6. Step 6: Final answer
    x = 112,486.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.