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Finding the Third Proportional to 18,928 and 51,280

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Solution

The third proportional to 18,928 and 51,280 is: 138,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,928 : 51,280 = 51,280 : x
  2. Step 2: Convert to fraction form
    18,928/51,280 = 51,280/x
  3. Step 3: Cross multiply
    18,928x = 51,280 × 51,280
  4. Step 4: Simplify right side
    18,928x = 2,629,638,400
  5. Step 5: Solve for x
    x = 2,629,638,400/18,928
  6. Step 6: Final answer
    x = 138,928.49

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.