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Finding the Third Proportional to 16,449.75 and 22,487.63

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Solution

The third proportional to 16,449.75 and 22,487.63 is: 30,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.75 : 22,487.63 = 22,487.63 : x
  2. Step 2: Convert to fraction form
    16,449.75/22,487.63 = 22,487.63/x
  3. Step 3: Cross multiply
    16,449.75x = 22,487.63 × 22,487.63
  4. Step 4: Simplify right side
    16,449.75x = 505,693,278.14
  5. Step 5: Solve for x
    x = 505,693,278.14/16,449.75
  6. Step 6: Final answer
    x = 30,741.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.