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Finding the Third Proportional to 31,528 and 47,067

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Solution

The third proportional to 31,528 and 47,067 is: 70,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528 : 47,067 = 47,067 : x
  2. Step 2: Convert to fraction form
    31,528/47,067 = 47,067/x
  3. Step 3: Cross multiply
    31,528x = 47,067 × 47,067
  4. Step 4: Simplify right side
    31,528x = 2,215,302,489
  5. Step 5: Solve for x
    x = 2,215,302,489/31,528
  6. Step 6: Final answer
    x = 70,264.61

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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.