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Finding the Third Proportional to 50,923.69 and 66,536.44

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Solution

The third proportional to 50,923.69 and 66,536.44 is: 86,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923.69 : 66,536.44 = 66,536.44 : x
  2. Step 2: Convert to fraction form
    50,923.69/66,536.44 = 66,536.44/x
  3. Step 3: Cross multiply
    50,923.69x = 66,536.44 × 66,536.44
  4. Step 4: Simplify right side
    50,923.69x = 4,427,097,515.19
  5. Step 5: Solve for x
    x = 4,427,097,515.19/50,923.69
  6. Step 6: Final answer
    x = 86,935.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.