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Finding the Third Proportional to 18,996 and 25,332

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Solution

The third proportional to 18,996 and 25,332 is: 33,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996 : 25,332 = 25,332 : x
  2. Step 2: Convert to fraction form
    18,996/25,332 = 25,332/x
  3. Step 3: Cross multiply
    18,996x = 25,332 × 25,332
  4. Step 4: Simplify right side
    18,996x = 641,710,224
  5. Step 5: Solve for x
    x = 641,710,224/18,996
  6. Step 6: Final answer
    x = 33,781.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.