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Finding the Third Proportional to 23,528 and 33,992

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Solution

The third proportional to 23,528 and 33,992 is: 49,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 33,992 = 33,992 : x
  2. Step 2: Convert to fraction form
    23,528/33,992 = 33,992/x
  3. Step 3: Cross multiply
    23,528x = 33,992 × 33,992
  4. Step 4: Simplify right side
    23,528x = 1,155,456,064
  5. Step 5: Solve for x
    x = 1,155,456,064/23,528
  6. Step 6: Final answer
    x = 49,109.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.