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Finding the Third Proportional to 40,907.50 and 55,245

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Solution

The third proportional to 40,907.50 and 55,245 is: 74,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907.50 : 55,245 = 55,245 : x
  2. Step 2: Convert to fraction form
    40,907.50/55,245 = 55,245/x
  3. Step 3: Cross multiply
    40,907.50x = 55,245 × 55,245
  4. Step 4: Simplify right side
    40,907.50x = 3,052,010,025
  5. Step 5: Solve for x
    x = 3,052,010,025/40,907.50
  6. Step 6: Final answer
    x = 74,607.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.