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Finding the Third Proportional to 23,851.13 and 52,015.50

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Solution

The third proportional to 23,851.13 and 52,015.50 is: 113,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.13 : 52,015.50 = 52,015.50 : x
  2. Step 2: Convert to fraction form
    23,851.13/52,015.50 = 52,015.50/x
  3. Step 3: Cross multiply
    23,851.13x = 52,015.50 × 52,015.50
  4. Step 4: Simplify right side
    23,851.13x = 2,705,612,240.25
  5. Step 5: Solve for x
    x = 2,705,612,240.25/23,851.13
  6. Step 6: Final answer
    x = 113,437.51

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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.