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Finding the Third Proportional to 40,232 and 57,736

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Solution

The third proportional to 40,232 and 57,736 is: 82,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232 : 57,736 = 57,736 : x
  2. Step 2: Convert to fraction form
    40,232/57,736 = 57,736/x
  3. Step 3: Cross multiply
    40,232x = 57,736 × 57,736
  4. Step 4: Simplify right side
    40,232x = 3,333,445,696
  5. Step 5: Solve for x
    x = 3,333,445,696/40,232
  6. Step 6: Final answer
    x = 82,855.58

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.