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Finding the Third Proportional to 19,328 and 30,720

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Solution

The third proportional to 19,328 and 30,720 is: 48,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328 : 30,720 = 30,720 : x
  2. Step 2: Convert to fraction form
    19,328/30,720 = 30,720/x
  3. Step 3: Cross multiply
    19,328x = 30,720 × 30,720
  4. Step 4: Simplify right side
    19,328x = 943,718,400
  5. Step 5: Solve for x
    x = 943,718,400/19,328
  6. Step 6: Final answer
    x = 48,826.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.