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Finding the Third Proportional to 23,808.94 and 34,976.81

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Solution

The third proportional to 23,808.94 and 34,976.81 is: 51,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.94 : 34,976.81 = 34,976.81 : x
  2. Step 2: Convert to fraction form
    23,808.94/34,976.81 = 34,976.81/x
  3. Step 3: Cross multiply
    23,808.94x = 34,976.81 × 34,976.81
  4. Step 4: Simplify right side
    23,808.94x = 1,223,377,412.66
  5. Step 5: Solve for x
    x = 1,223,377,412.66/23,808.94
  6. Step 6: Final answer
    x = 51,383.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.