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Finding the Third Proportional to 11,659.69 and 24,981.38

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Solution

The third proportional to 11,659.69 and 24,981.38 is: 53,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.69 : 24,981.38 = 24,981.38 : x
  2. Step 2: Convert to fraction form
    11,659.69/24,981.38 = 24,981.38/x
  3. Step 3: Cross multiply
    11,659.69x = 24,981.38 × 24,981.38
  4. Step 4: Simplify right side
    11,659.69x = 624,069,096.89
  5. Step 5: Solve for x
    x = 624,069,096.89/11,659.69
  6. Step 6: Final answer
    x = 53,523.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.