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Finding the Third Proportional to 15,105 and 31,901

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Solution

The third proportional to 15,105 and 31,901 is: 67,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105 : 31,901 = 31,901 : x
  2. Step 2: Convert to fraction form
    15,105/31,901 = 31,901/x
  3. Step 3: Cross multiply
    15,105x = 31,901 × 31,901
  4. Step 4: Simplify right side
    15,105x = 1,017,673,801
  5. Step 5: Solve for x
    x = 1,017,673,801/15,105
  6. Step 6: Final answer
    x = 67,373.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.