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Finding the Third Proportional to 39,716.50 and 85,535

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Solution

The third proportional to 39,716.50 and 85,535 is: 184,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716.50 : 85,535 = 85,535 : x
  2. Step 2: Convert to fraction form
    39,716.50/85,535 = 85,535/x
  3. Step 3: Cross multiply
    39,716.50x = 85,535 × 85,535
  4. Step 4: Simplify right side
    39,716.50x = 7,316,236,225
  5. Step 5: Solve for x
    x = 7,316,236,225/39,716.50
  6. Step 6: Final answer
    x = 184,211.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.