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Finding the Third Proportional to 14,628.75 and 32,245.50

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Solution

The third proportional to 14,628.75 and 32,245.50 is: 71,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628.75 : 32,245.50 = 32,245.50 : x
  2. Step 2: Convert to fraction form
    14,628.75/32,245.50 = 32,245.50/x
  3. Step 3: Cross multiply
    14,628.75x = 32,245.50 × 32,245.50
  4. Step 4: Simplify right side
    14,628.75x = 1,039,772,270.25
  5. Step 5: Solve for x
    x = 1,039,772,270.25/14,628.75
  6. Step 6: Final answer
    x = 71,077.31

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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.