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Finding the Third Proportional to 39,238 and 85,024

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Solution

The third proportional to 39,238 and 85,024 is: 184,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,238 : 85,024 = 85,024 : x
  2. Step 2: Convert to fraction form
    39,238/85,024 = 85,024/x
  3. Step 3: Cross multiply
    39,238x = 85,024 × 85,024
  4. Step 4: Simplify right side
    39,238x = 7,229,080,576
  5. Step 5: Solve for x
    x = 7,229,080,576/39,238
  6. Step 6: Final answer
    x = 184,236.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.