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Finding the Third Proportional to 36,540 and 55,050.75

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Solution

The third proportional to 36,540 and 55,050.75 is: 82,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 55,050.75 = 55,050.75 : x
  2. Step 2: Convert to fraction form
    36,540/55,050.75 = 55,050.75/x
  3. Step 3: Cross multiply
    36,540x = 55,050.75 × 55,050.75
  4. Step 4: Simplify right side
    36,540x = 3,030,585,075.56
  5. Step 5: Solve for x
    x = 3,030,585,075.56/36,540
  6. Step 6: Final answer
    x = 82,938.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.