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Finding the Third Proportional to 26,833 and 39,932

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Solution

The third proportional to 26,833 and 39,932 is: 59,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833 : 39,932 = 39,932 : x
  2. Step 2: Convert to fraction form
    26,833/39,932 = 39,932/x
  3. Step 3: Cross multiply
    26,833x = 39,932 × 39,932
  4. Step 4: Simplify right side
    26,833x = 1,594,564,624
  5. Step 5: Solve for x
    x = 1,594,564,624/26,833
  6. Step 6: Final answer
    x = 59,425.51

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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.