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Finding the Third Proportional to 13,374.56 and 20,698.31

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Solution

The third proportional to 13,374.56 and 20,698.31 is: 32,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.56 : 20,698.31 = 20,698.31 : x
  2. Step 2: Convert to fraction form
    13,374.56/20,698.31 = 20,698.31/x
  3. Step 3: Cross multiply
    13,374.56x = 20,698.31 × 20,698.31
  4. Step 4: Simplify right side
    13,374.56x = 428,420,140.35
  5. Step 5: Solve for x
    x = 428,420,140.35/13,374.56
  6. Step 6: Final answer
    x = 32,032.46

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