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Finding the Third Proportional to 18,989 and 28,378

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Solution

The third proportional to 18,989 and 28,378 is: 42,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989 : 28,378 = 28,378 : x
  2. Step 2: Convert to fraction form
    18,989/28,378 = 28,378/x
  3. Step 3: Cross multiply
    18,989x = 28,378 × 28,378
  4. Step 4: Simplify right side
    18,989x = 805,310,884
  5. Step 5: Solve for x
    x = 805,310,884/18,989
  6. Step 6: Final answer
    x = 42,409.34

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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.