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Finding the Third Proportional to 14,662.88 and 32,241.56

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Solution

The third proportional to 14,662.88 and 32,241.56 is: 70,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.88 : 32,241.56 = 32,241.56 : x
  2. Step 2: Convert to fraction form
    14,662.88/32,241.56 = 32,241.56/x
  3. Step 3: Cross multiply
    14,662.88x = 32,241.56 × 32,241.56
  4. Step 4: Simplify right side
    14,662.88x = 1,039,518,352.44
  5. Step 5: Solve for x
    x = 1,039,518,352.44/14,662.88
  6. Step 6: Final answer
    x = 70,894.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.