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Finding the Third Proportional to 18,996 and 28,384

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Solution

The third proportional to 18,996 and 28,384 is: 42,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996 : 28,384 = 28,384 : x
  2. Step 2: Convert to fraction form
    18,996/28,384 = 28,384/x
  3. Step 3: Cross multiply
    18,996x = 28,384 × 28,384
  4. Step 4: Simplify right side
    18,996x = 805,651,456
  5. Step 5: Solve for x
    x = 805,651,456/18,996
  6. Step 6: Final answer
    x = 42,411.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.