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Finding the Third Proportional to 20,513.25 and 30,886.31

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Solution

The third proportional to 20,513.25 and 30,886.31 is: 46,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.25 : 30,886.31 = 30,886.31 : x
  2. Step 2: Convert to fraction form
    20,513.25/30,886.31 = 30,886.31/x
  3. Step 3: Cross multiply
    20,513.25x = 30,886.31 × 30,886.31
  4. Step 4: Simplify right side
    20,513.25x = 953,964,299.85
  5. Step 5: Solve for x
    x = 953,964,299.85/20,513.25
  6. Step 6: Final answer
    x = 46,504.79

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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.