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Finding the Third Proportional to 5,934.38 and 12,164.63

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Solution

The third proportional to 5,934.38 and 12,164.63 is: 24,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.38 : 12,164.63 = 12,164.63 : x
  2. Step 2: Convert to fraction form
    5,934.38/12,164.63 = 12,164.63/x
  3. Step 3: Cross multiply
    5,934.38x = 12,164.63 × 12,164.63
  4. Step 4: Simplify right side
    5,934.38x = 147,978,101.39
  5. Step 5: Solve for x
    x = 147,978,101.39/5,934.38
  6. Step 6: Final answer
    x = 24,935.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.