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Finding the Third Proportional to 28,896 and 38,736

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Solution

The third proportional to 28,896 and 38,736 is: 51,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,896 : 38,736 = 38,736 : x
  2. Step 2: Convert to fraction form
    28,896/38,736 = 38,736/x
  3. Step 3: Cross multiply
    28,896x = 38,736 × 38,736
  4. Step 4: Simplify right side
    28,896x = 1,500,477,696
  5. Step 5: Solve for x
    x = 1,500,477,696/28,896
  6. Step 6: Final answer
    x = 51,926.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.