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Finding the Third Proportional to 14,374.13 and 21,619.69

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Solution

The third proportional to 14,374.13 and 21,619.69 is: 32,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.13 : 21,619.69 = 21,619.69 : x
  2. Step 2: Convert to fraction form
    14,374.13/21,619.69 = 21,619.69/x
  3. Step 3: Cross multiply
    14,374.13x = 21,619.69 × 21,619.69
  4. Step 4: Simplify right side
    14,374.13x = 467,410,887.60
  5. Step 5: Solve for x
    x = 467,410,887.60/14,374.13
  6. Step 6: Final answer
    x = 32,517.52

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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.