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Finding the Third Proportional to 43,537.50 and 65,137.50

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Solution

The third proportional to 43,537.50 and 65,137.50 is: 97,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,537.50 : 65,137.50 = 65,137.50 : x
  2. Step 2: Convert to fraction form
    43,537.50/65,137.50 = 65,137.50/x
  3. Step 3: Cross multiply
    43,537.50x = 65,137.50 × 65,137.50
  4. Step 4: Simplify right side
    43,537.50x = 4,242,893,906.25
  5. Step 5: Solve for x
    x = 4,242,893,906.25/43,537.50
  6. Step 6: Final answer
    x = 97,453.78

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