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Finding the Third Proportional to 18,920 and 31,340

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Solution

The third proportional to 18,920 and 31,340 is: 51,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920 : 31,340 = 31,340 : x
  2. Step 2: Convert to fraction form
    18,920/31,340 = 31,340/x
  3. Step 3: Cross multiply
    18,920x = 31,340 × 31,340
  4. Step 4: Simplify right side
    18,920x = 982,195,600
  5. Step 5: Solve for x
    x = 982,195,600/18,920
  6. Step 6: Final answer
    x = 51,913.09

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.