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Finding the Third Proportional to 18,232 and 27,880

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Solution

The third proportional to 18,232 and 27,880 is: 42,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232 : 27,880 = 27,880 : x
  2. Step 2: Convert to fraction form
    18,232/27,880 = 27,880/x
  3. Step 3: Cross multiply
    18,232x = 27,880 × 27,880
  4. Step 4: Simplify right side
    18,232x = 777,294,400
  5. Step 5: Solve for x
    x = 777,294,400/18,232
  6. Step 6: Final answer
    x = 42,633.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.