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Finding the Third Proportional to 23,896 and 33,424

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Solution

The third proportional to 23,896 and 33,424 is: 46,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896 : 33,424 = 33,424 : x
  2. Step 2: Convert to fraction form
    23,896/33,424 = 33,424/x
  3. Step 3: Cross multiply
    23,896x = 33,424 × 33,424
  4. Step 4: Simplify right side
    23,896x = 1,117,163,776
  5. Step 5: Solve for x
    x = 1,117,163,776/23,896
  6. Step 6: Final answer
    x = 46,751.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.