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Finding the Third Proportional to 15,745.50 and 23,577.75

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Solution

The third proportional to 15,745.50 and 23,577.75 is: 35,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.50 : 23,577.75 = 23,577.75 : x
  2. Step 2: Convert to fraction form
    15,745.50/23,577.75 = 23,577.75/x
  3. Step 3: Cross multiply
    15,745.50x = 23,577.75 × 23,577.75
  4. Step 4: Simplify right side
    15,745.50x = 555,910,295.06
  5. Step 5: Solve for x
    x = 555,910,295.06/15,745.50
  6. Step 6: Final answer
    x = 35,305.98

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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.