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Finding the Third Proportional to 39,206.53 and 56,896.17

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Solution

The third proportional to 39,206.53 and 56,896.17 is: 82,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206.53 : 56,896.17 = 56,896.17 : x
  2. Step 2: Convert to fraction form
    39,206.53/56,896.17 = 56,896.17/x
  3. Step 3: Cross multiply
    39,206.53x = 56,896.17 × 56,896.17
  4. Step 4: Simplify right side
    39,206.53x = 3,237,174,374.03
  5. Step 5: Solve for x
    x = 3,237,174,374.03/39,206.53
  6. Step 6: Final answer
    x = 82,567.22

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.