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Finding the Third Proportional to 14,473.69 and 21,672.56

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Solution

The third proportional to 14,473.69 and 21,672.56 is: 32,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.69 : 21,672.56 = 21,672.56 : x
  2. Step 2: Convert to fraction form
    14,473.69/21,672.56 = 21,672.56/x
  3. Step 3: Cross multiply
    14,473.69x = 21,672.56 × 21,672.56
  4. Step 4: Simplify right side
    14,473.69x = 469,699,965.32
  5. Step 5: Solve for x
    x = 469,699,965.32/14,473.69
  6. Step 6: Final answer
    x = 32,451.99

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