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Finding the Third Proportional to 17,662 and 24,753.50

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Solution

The third proportional to 17,662 and 24,753.50 is: 34,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 24,753.50 = 24,753.50 : x
  2. Step 2: Convert to fraction form
    17,662/24,753.50 = 24,753.50/x
  3. Step 3: Cross multiply
    17,662x = 24,753.50 × 24,753.50
  4. Step 4: Simplify right side
    17,662x = 612,735,762.25
  5. Step 5: Solve for x
    x = 612,735,762.25/17,662
  6. Step 6: Final answer
    x = 34,692.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.