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Finding the Third Proportional to 13,619.25 and 20,445.75

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Solution

The third proportional to 13,619.25 and 20,445.75 is: 30,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.25 : 20,445.75 = 20,445.75 : x
  2. Step 2: Convert to fraction form
    13,619.25/20,445.75 = 20,445.75/x
  3. Step 3: Cross multiply
    13,619.25x = 20,445.75 × 20,445.75
  4. Step 4: Simplify right side
    13,619.25x = 418,028,693.06
  5. Step 5: Solve for x
    x = 418,028,693.06/13,619.25
  6. Step 6: Final answer
    x = 30,693.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.