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Finding the Third Proportional to 16,689.38 and 25,770

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Solution

The third proportional to 16,689.38 and 25,770 is: 39,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.38 : 25,770 = 25,770 : x
  2. Step 2: Convert to fraction form
    16,689.38/25,770 = 25,770/x
  3. Step 3: Cross multiply
    16,689.38x = 25,770 × 25,770
  4. Step 4: Simplify right side
    16,689.38x = 664,092,900
  5. Step 5: Solve for x
    x = 664,092,900/16,689.38
  6. Step 6: Final answer
    x = 39,791.36

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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.