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Finding the Third Proportional to 11,630.81 and 25,473.38

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Solution

The third proportional to 11,630.81 and 25,473.38 is: 55,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.81 : 25,473.38 = 25,473.38 : x
  2. Step 2: Convert to fraction form
    11,630.81/25,473.38 = 25,473.38/x
  3. Step 3: Cross multiply
    11,630.81x = 25,473.38 × 25,473.38
  4. Step 4: Simplify right side
    11,630.81x = 648,892,833.89
  5. Step 5: Solve for x
    x = 648,892,833.89/11,630.81
  6. Step 6: Final answer
    x = 55,790.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.