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Finding the Third Proportional to 17,632 and 27,318.75

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Solution

The third proportional to 17,632 and 27,318.75 is: 42,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632 : 27,318.75 = 27,318.75 : x
  2. Step 2: Convert to fraction form
    17,632/27,318.75 = 27,318.75/x
  3. Step 3: Cross multiply
    17,632x = 27,318.75 × 27,318.75
  4. Step 4: Simplify right side
    17,632x = 746,314,101.56
  5. Step 5: Solve for x
    x = 746,314,101.56/17,632
  6. Step 6: Final answer
    x = 42,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.