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Finding the Third Proportional to 10,918.13 and 16,697.81

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Solution

The third proportional to 10,918.13 and 16,697.81 is: 25,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.13 : 16,697.81 = 16,697.81 : x
  2. Step 2: Convert to fraction form
    10,918.13/16,697.81 = 16,697.81/x
  3. Step 3: Cross multiply
    10,918.13x = 16,697.81 × 16,697.81
  4. Step 4: Simplify right side
    10,918.13x = 278,816,942.29
  5. Step 5: Solve for x
    x = 278,816,942.29/10,918.13
  6. Step 6: Final answer
    x = 25,537.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.