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Finding the Third Proportional to 43,856 and 65,028

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Solution

The third proportional to 43,856 and 65,028 is: 96,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,856 : 65,028 = 65,028 : x
  2. Step 2: Convert to fraction form
    43,856/65,028 = 65,028/x
  3. Step 3: Cross multiply
    43,856x = 65,028 × 65,028
  4. Step 4: Simplify right side
    43,856x = 4,228,640,784
  5. Step 5: Solve for x
    x = 4,228,640,784/43,856
  6. Step 6: Final answer
    x = 96,421.03

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.