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Finding the Third Proportional to 17,862.50 and 37,729.50

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Solution

The third proportional to 17,862.50 and 37,729.50 is: 79,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.50 : 37,729.50 = 37,729.50 : x
  2. Step 2: Convert to fraction form
    17,862.50/37,729.50 = 37,729.50/x
  3. Step 3: Cross multiply
    17,862.50x = 37,729.50 × 37,729.50
  4. Step 4: Simplify right side
    17,862.50x = 1,423,515,170.25
  5. Step 5: Solve for x
    x = 1,423,515,170.25/17,862.50
  6. Step 6: Final answer
    x = 79,692.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.