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Finding the Third Proportional to 39,491.75 and 85,304.75

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Solution

The third proportional to 39,491.75 and 85,304.75 is: 184,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,491.75 : 85,304.75 = 85,304.75 : x
  2. Step 2: Convert to fraction form
    39,491.75/85,304.75 = 85,304.75/x
  3. Step 3: Cross multiply
    39,491.75x = 85,304.75 × 85,304.75
  4. Step 4: Simplify right side
    39,491.75x = 7,276,900,372.56
  5. Step 5: Solve for x
    x = 7,276,900,372.56/39,491.75
  6. Step 6: Final answer
    x = 184,263.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.