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Finding the Third Proportional to 15,862.50 and 23,754.75

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Solution

The third proportional to 15,862.50 and 23,754.75 is: 35,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.50 : 23,754.75 = 23,754.75 : x
  2. Step 2: Convert to fraction form
    15,862.50/23,754.75 = 23,754.75/x
  3. Step 3: Cross multiply
    15,862.50x = 23,754.75 × 23,754.75
  4. Step 4: Simplify right side
    15,862.50x = 564,288,147.56
  5. Step 5: Solve for x
    x = 564,288,147.56/15,862.50
  6. Step 6: Final answer
    x = 35,573.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.