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Finding the Third Proportional to 20,791.69 and 31,066.03

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Solution

The third proportional to 20,791.69 and 31,066.03 is: 46,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.69 : 31,066.03 = 31,066.03 : x
  2. Step 2: Convert to fraction form
    20,791.69/31,066.03 = 31,066.03/x
  3. Step 3: Cross multiply
    20,791.69x = 31,066.03 × 31,066.03
  4. Step 4: Simplify right side
    20,791.69x = 965,098,297.63
  5. Step 5: Solve for x
    x = 965,098,297.63/20,791.69
  6. Step 6: Final answer
    x = 46,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.