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Finding the Third Proportional to 10,884.38 and 16,751.81

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Solution

The third proportional to 10,884.38 and 16,751.81 is: 25,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.38 : 16,751.81 = 16,751.81 : x
  2. Step 2: Convert to fraction form
    10,884.38/16,751.81 = 16,751.81/x
  3. Step 3: Cross multiply
    10,884.38x = 16,751.81 × 16,751.81
  4. Step 4: Simplify right side
    10,884.38x = 280,623,222.04
  5. Step 5: Solve for x
    x = 280,623,222.04/10,884.38
  6. Step 6: Final answer
    x = 25,782.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.