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Finding the Third Proportional to 17,624.25 and 26,218.69

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Solution

The third proportional to 17,624.25 and 26,218.69 is: 39,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.25 : 26,218.69 = 26,218.69 : x
  2. Step 2: Convert to fraction form
    17,624.25/26,218.69 = 26,218.69/x
  3. Step 3: Cross multiply
    17,624.25x = 26,218.69 × 26,218.69
  4. Step 4: Simplify right side
    17,624.25x = 687,419,574.22
  5. Step 5: Solve for x
    x = 687,419,574.22/17,624.25
  6. Step 6: Final answer
    x = 39,004.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.