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Finding the Third Proportional to 12,134.81 and 16,178.48

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Solution

The third proportional to 12,134.81 and 16,178.48 is: 21,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.81 : 16,178.48 = 16,178.48 : x
  2. Step 2: Convert to fraction form
    12,134.81/16,178.48 = 16,178.48/x
  3. Step 3: Cross multiply
    12,134.81x = 16,178.48 × 16,178.48
  4. Step 4: Simplify right side
    12,134.81x = 261,743,356.67
  5. Step 5: Solve for x
    x = 261,743,356.67/12,134.81
  6. Step 6: Final answer
    x = 21,569.63

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.