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Finding the Third Proportional to 16,905.94 and 24,487.31

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Solution

The third proportional to 16,905.94 and 24,487.31 is: 35,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905.94 : 24,487.31 = 24,487.31 : x
  2. Step 2: Convert to fraction form
    16,905.94/24,487.31 = 24,487.31/x
  3. Step 3: Cross multiply
    16,905.94x = 24,487.31 × 24,487.31
  4. Step 4: Simplify right side
    16,905.94x = 599,628,473.47
  5. Step 5: Solve for x
    x = 599,628,473.47/16,905.94
  6. Step 6: Final answer
    x = 35,468.51

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.