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Finding the Third Proportional to 13,201.50 and 28,680

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Solution

The third proportional to 13,201.50 and 28,680 is: 62,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.50 : 28,680 = 28,680 : x
  2. Step 2: Convert to fraction form
    13,201.50/28,680 = 28,680/x
  3. Step 3: Cross multiply
    13,201.50x = 28,680 × 28,680
  4. Step 4: Simplify right side
    13,201.50x = 822,542,400
  5. Step 5: Solve for x
    x = 822,542,400/13,201.50
  6. Step 6: Final answer
    x = 62,306.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.