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Finding the Third Proportional to 15,754.50 and 23,960.81

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Solution

The third proportional to 15,754.50 and 23,960.81 is: 36,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.50 : 23,960.81 = 23,960.81 : x
  2. Step 2: Convert to fraction form
    15,754.50/23,960.81 = 23,960.81/x
  3. Step 3: Cross multiply
    15,754.50x = 23,960.81 × 23,960.81
  4. Step 4: Simplify right side
    15,754.50x = 574,120,535.66
  5. Step 5: Solve for x
    x = 574,120,535.66/15,754.50
  6. Step 6: Final answer
    x = 36,441.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.