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Finding the Third Proportional to 31,511 and 34,306

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Solution

The third proportional to 31,511 and 34,306 is: 37,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511 : 34,306 = 34,306 : x
  2. Step 2: Convert to fraction form
    31,511/34,306 = 34,306/x
  3. Step 3: Cross multiply
    31,511x = 34,306 × 34,306
  4. Step 4: Simplify right side
    31,511x = 1,176,901,636
  5. Step 5: Solve for x
    x = 1,176,901,636/31,511
  6. Step 6: Final answer
    x = 37,348.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.