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Finding the Third Proportional to 17,668.13 and 24,761.63

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Solution

The third proportional to 17,668.13 and 24,761.63 is: 34,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.13 : 24,761.63 = 24,761.63 : x
  2. Step 2: Convert to fraction form
    17,668.13/24,761.63 = 24,761.63/x
  3. Step 3: Cross multiply
    17,668.13x = 24,761.63 × 24,761.63
  4. Step 4: Simplify right side
    17,668.13x = 613,138,072.64
  5. Step 5: Solve for x
    x = 613,138,072.64/17,668.13
  6. Step 6: Final answer
    x = 34,703.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.