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Finding the Third Proportional to 15,844 and 33,424

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Solution

The third proportional to 15,844 and 33,424 is: 70,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 33,424 = 33,424 : x
  2. Step 2: Convert to fraction form
    15,844/33,424 = 33,424/x
  3. Step 3: Cross multiply
    15,844x = 33,424 × 33,424
  4. Step 4: Simplify right side
    15,844x = 1,117,163,776
  5. Step 5: Solve for x
    x = 1,117,163,776/15,844
  6. Step 6: Final answer
    x = 70,510.21

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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.