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Finding the Third Proportional to 15,228 and 31,833

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Solution

The third proportional to 15,228 and 31,833 is: 66,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 31,833 = 31,833 : x
  2. Step 2: Convert to fraction form
    15,228/31,833 = 31,833/x
  3. Step 3: Cross multiply
    15,228x = 31,833 × 31,833
  4. Step 4: Simplify right side
    15,228x = 1,013,339,889
  5. Step 5: Solve for x
    x = 1,013,339,889/15,228
  6. Step 6: Final answer
    x = 66,544.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.