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Finding the Third Proportional to 23,234 and 33,987

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Solution

The third proportional to 23,234 and 33,987 is: 49,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 33,987 = 33,987 : x
  2. Step 2: Convert to fraction form
    23,234/33,987 = 33,987/x
  3. Step 3: Cross multiply
    23,234x = 33,987 × 33,987
  4. Step 4: Simplify right side
    23,234x = 1,155,116,169
  5. Step 5: Solve for x
    x = 1,155,116,169/23,234
  6. Step 6: Final answer
    x = 49,716.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.