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Finding the Third Proportional to 17,732 and 27,220

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Solution

The third proportional to 17,732 and 27,220 is: 41,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732 : 27,220 = 27,220 : x
  2. Step 2: Convert to fraction form
    17,732/27,220 = 27,220/x
  3. Step 3: Cross multiply
    17,732x = 27,220 × 27,220
  4. Step 4: Simplify right side
    17,732x = 740,928,400
  5. Step 5: Solve for x
    x = 740,928,400/17,732
  6. Step 6: Final answer
    x = 41,784.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.