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Finding the Third Proportional to 10,464.19 and 16,903.69

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Solution

The third proportional to 10,464.19 and 16,903.69 is: 27,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.19 : 16,903.69 = 16,903.69 : x
  2. Step 2: Convert to fraction form
    10,464.19/16,903.69 = 16,903.69/x
  3. Step 3: Cross multiply
    10,464.19x = 16,903.69 × 16,903.69
  4. Step 4: Simplify right side
    10,464.19x = 285,734,651.10
  5. Step 5: Solve for x
    x = 285,734,651.10/10,464.19
  6. Step 6: Final answer
    x = 27,305.96

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.