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Finding the Third Proportional to 23,628.38 and 31,527.56

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Solution

The third proportional to 23,628.38 and 31,527.56 is: 42,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,628.38 : 31,527.56 = 31,527.56 : x
  2. Step 2: Convert to fraction form
    23,628.38/31,527.56 = 31,527.56/x
  3. Step 3: Cross multiply
    23,628.38x = 31,527.56 × 31,527.56
  4. Step 4: Simplify right side
    23,628.38x = 993,987,197.19
  5. Step 5: Solve for x
    x = 993,987,197.19/23,628.38
  6. Step 6: Final answer
    x = 42,067.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.