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Finding the Third Proportional to 39,856 and 55,856

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Solution

The third proportional to 39,856 and 55,856 is: 78,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856 : 55,856 = 55,856 : x
  2. Step 2: Convert to fraction form
    39,856/55,856 = 55,856/x
  3. Step 3: Cross multiply
    39,856x = 55,856 × 55,856
  4. Step 4: Simplify right side
    39,856x = 3,119,892,736
  5. Step 5: Solve for x
    x = 3,119,892,736/39,856
  6. Step 6: Final answer
    x = 78,279.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.