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Finding the Third Proportional to 39,902.50 and 85,686

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Solution

The third proportional to 39,902.50 and 85,686 is: 184,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,902.50 : 85,686 = 85,686 : x
  2. Step 2: Convert to fraction form
    39,902.50/85,686 = 85,686/x
  3. Step 3: Cross multiply
    39,902.50x = 85,686 × 85,686
  4. Step 4: Simplify right side
    39,902.50x = 7,342,090,596
  5. Step 5: Solve for x
    x = 7,342,090,596/39,902.50
  6. Step 6: Final answer
    x = 184,000.77

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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.