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Finding the Third Proportional to 22,971.75 and 33,546

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Solution

The third proportional to 22,971.75 and 33,546 is: 48,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.75 : 33,546 = 33,546 : x
  2. Step 2: Convert to fraction form
    22,971.75/33,546 = 33,546/x
  3. Step 3: Cross multiply
    22,971.75x = 33,546 × 33,546
  4. Step 4: Simplify right side
    22,971.75x = 1,125,334,116
  5. Step 5: Solve for x
    x = 1,125,334,116/22,971.75
  6. Step 6: Final answer
    x = 48,987.74

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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.