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Finding the Third Proportional to 13,767 and 20,779.50

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Solution

The third proportional to 13,767 and 20,779.50 is: 31,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 20,779.50 = 20,779.50 : x
  2. Step 2: Convert to fraction form
    13,767/20,779.50 = 20,779.50/x
  3. Step 3: Cross multiply
    13,767x = 20,779.50 × 20,779.50
  4. Step 4: Simplify right side
    13,767x = 431,787,620.25
  5. Step 5: Solve for x
    x = 431,787,620.25/13,767
  6. Step 6: Final answer
    x = 31,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.