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Finding the Third Proportional to 39,408.75 and 85,038.75

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Solution

The third proportional to 39,408.75 and 85,038.75 is: 183,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408.75 : 85,038.75 = 85,038.75 : x
  2. Step 2: Convert to fraction form
    39,408.75/85,038.75 = 85,038.75/x
  3. Step 3: Cross multiply
    39,408.75x = 85,038.75 × 85,038.75
  4. Step 4: Simplify right side
    39,408.75x = 7,231,589,001.56
  5. Step 5: Solve for x
    x = 7,231,589,001.56/39,408.75
  6. Step 6: Final answer
    x = 183,502.12

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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.