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Finding the Third Proportional to 16,742.25 and 25,923.38

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Solution

The third proportional to 16,742.25 and 25,923.38 is: 40,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.25 : 25,923.38 = 25,923.38 : x
  2. Step 2: Convert to fraction form
    16,742.25/25,923.38 = 25,923.38/x
  3. Step 3: Cross multiply
    16,742.25x = 25,923.38 × 25,923.38
  4. Step 4: Simplify right side
    16,742.25x = 672,021,371.39
  5. Step 5: Solve for x
    x = 672,021,371.39/16,742.25
  6. Step 6: Final answer
    x = 40,139.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.