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Finding the Third Proportional to 13,277.38 and 20,559.39

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Solution

The third proportional to 13,277.38 and 20,559.39 is: 31,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.38 : 20,559.39 = 20,559.39 : x
  2. Step 2: Convert to fraction form
    13,277.38/20,559.39 = 20,559.39/x
  3. Step 3: Cross multiply
    13,277.38x = 20,559.39 × 20,559.39
  4. Step 4: Simplify right side
    13,277.38x = 422,688,453.78
  5. Step 5: Solve for x
    x = 422,688,453.78/13,277.38
  6. Step 6: Final answer
    x = 31,835.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.