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Finding the Third Proportional to 12,180.38 and 16,356.94

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Solution

The third proportional to 12,180.38 and 16,356.94 is: 21,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.38 : 16,356.94 = 16,356.94 : x
  2. Step 2: Convert to fraction form
    12,180.38/16,356.94 = 16,356.94/x
  3. Step 3: Cross multiply
    12,180.38x = 16,356.94 × 16,356.94
  4. Step 4: Simplify right side
    12,180.38x = 267,549,404.38
  5. Step 5: Solve for x
    x = 267,549,404.38/12,180.38
  6. Step 6: Final answer
    x = 21,965.61

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.