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Finding the Third Proportional to 39,393 and 85,347

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Solution

The third proportional to 39,393 and 85,347 is: 184,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,393 : 85,347 = 85,347 : x
  2. Step 2: Convert to fraction form
    39,393/85,347 = 85,347/x
  3. Step 3: Cross multiply
    39,393x = 85,347 × 85,347
  4. Step 4: Simplify right side
    39,393x = 7,284,110,409
  5. Step 5: Solve for x
    x = 7,284,110,409/39,393
  6. Step 6: Final answer
    x = 184,908.75

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