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Finding the Third Proportional to 14,651.25 and 32,290.50

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Solution

The third proportional to 14,651.25 and 32,290.50 is: 71,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.25 : 32,290.50 = 32,290.50 : x
  2. Step 2: Convert to fraction form
    14,651.25/32,290.50 = 32,290.50/x
  3. Step 3: Cross multiply
    14,651.25x = 32,290.50 × 32,290.50
  4. Step 4: Simplify right side
    14,651.25x = 1,042,676,390.25
  5. Step 5: Solve for x
    x = 1,042,676,390.25/14,651.25
  6. Step 6: Final answer
    x = 71,166.38

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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.