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Finding the Third Proportional to 35,991 and 53,993.25

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Solution

The third proportional to 35,991 and 53,993.25 is: 81,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991 : 53,993.25 = 53,993.25 : x
  2. Step 2: Convert to fraction form
    35,991/53,993.25 = 53,993.25/x
  3. Step 3: Cross multiply
    35,991x = 53,993.25 × 53,993.25
  4. Step 4: Simplify right side
    35,991x = 2,915,271,045.56
  5. Step 5: Solve for x
    x = 2,915,271,045.56/35,991
  6. Step 6: Final answer
    x = 81,000.00

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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.