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Finding the Third Proportional to 39,964 and 85,760

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Solution

The third proportional to 39,964 and 85,760 is: 184,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,964 : 85,760 = 85,760 : x
  2. Step 2: Convert to fraction form
    39,964/85,760 = 85,760/x
  3. Step 3: Cross multiply
    39,964x = 85,760 × 85,760
  4. Step 4: Simplify right side
    39,964x = 7,354,777,600
  5. Step 5: Solve for x
    x = 7,354,777,600/39,964
  6. Step 6: Final answer
    x = 184,035.07

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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.