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Finding the Third Proportional to 20,575.27 and 27,946.27

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Solution

The third proportional to 20,575.27 and 27,946.27 is: 37,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.27 : 27,946.27 = 27,946.27 : x
  2. Step 2: Convert to fraction form
    20,575.27/27,946.27 = 27,946.27/x
  3. Step 3: Cross multiply
    20,575.27x = 27,946.27 × 27,946.27
  4. Step 4: Simplify right side
    20,575.27x = 780,993,762.38
  5. Step 5: Solve for x
    x = 780,993,762.38/20,575.27
  6. Step 6: Final answer
    x = 37,957.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.