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Finding the Third Proportional to 28,696 and 43,652

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Solution

The third proportional to 28,696 and 43,652 is: 66,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,696 : 43,652 = 43,652 : x
  2. Step 2: Convert to fraction form
    28,696/43,652 = 43,652/x
  3. Step 3: Cross multiply
    28,696x = 43,652 × 43,652
  4. Step 4: Simplify right side
    28,696x = 1,905,497,104
  5. Step 5: Solve for x
    x = 1,905,497,104/28,696
  6. Step 6: Final answer
    x = 66,402.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.