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Finding the Third Proportional to 20,571.47 and 45,516.94

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Solution

The third proportional to 20,571.47 and 45,516.94 is: 100,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.47 : 45,516.94 = 45,516.94 : x
  2. Step 2: Convert to fraction form
    20,571.47/45,516.94 = 45,516.94/x
  3. Step 3: Cross multiply
    20,571.47x = 45,516.94 × 45,516.94
  4. Step 4: Simplify right side
    20,571.47x = 2,071,791,599.38
  5. Step 5: Solve for x
    x = 2,071,791,599.38/20,571.47
  6. Step 6: Final answer
    x = 100,711.89

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.