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Finding the Third Proportional to 39,647.63 and 57,983.06

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Solution

The third proportional to 39,647.63 and 57,983.06 is: 84,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,647.63 : 57,983.06 = 57,983.06 : x
  2. Step 2: Convert to fraction form
    39,647.63/57,983.06 = 57,983.06/x
  3. Step 3: Cross multiply
    39,647.63x = 57,983.06 × 57,983.06
  4. Step 4: Simplify right side
    39,647.63x = 3,362,035,536.88
  5. Step 5: Solve for x
    x = 3,362,035,536.88/39,647.63
  6. Step 6: Final answer
    x = 84,797.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.