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Finding the Third Proportional to 12,273.38 and 19,199.81

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Solution

The third proportional to 12,273.38 and 19,199.81 is: 30,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.38 : 19,199.81 = 19,199.81 : x
  2. Step 2: Convert to fraction form
    12,273.38/19,199.81 = 19,199.81/x
  3. Step 3: Cross multiply
    12,273.38x = 19,199.81 × 19,199.81
  4. Step 4: Simplify right side
    12,273.38x = 368,632,800.04
  5. Step 5: Solve for x
    x = 368,632,800.04/12,273.38
  6. Step 6: Final answer
    x = 30,035.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.