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Finding the Third Proportional to 39,628.13 and 57,983.63

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Solution

The third proportional to 39,628.13 and 57,983.63 is: 84,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,628.13 : 57,983.63 = 57,983.63 : x
  2. Step 2: Convert to fraction form
    39,628.13/57,983.63 = 57,983.63/x
  3. Step 3: Cross multiply
    39,628.13x = 57,983.63 × 57,983.63
  4. Step 4: Simplify right side
    39,628.13x = 3,362,100,768.14
  5. Step 5: Solve for x
    x = 3,362,100,768.14/39,628.13
  6. Step 6: Final answer
    x = 84,841.28

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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.