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Finding the Third Proportional to 16,563.38 and 24,914.25

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Solution

The third proportional to 16,563.38 and 24,914.25 is: 37,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.38 : 24,914.25 = 24,914.25 : x
  2. Step 2: Convert to fraction form
    16,563.38/24,914.25 = 24,914.25/x
  3. Step 3: Cross multiply
    16,563.38x = 24,914.25 × 24,914.25
  4. Step 4: Simplify right side
    16,563.38x = 620,719,853.06
  5. Step 5: Solve for x
    x = 620,719,853.06/16,563.38
  6. Step 6: Final answer
    x = 37,475.45

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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.