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Finding the Third Proportional to 17,160.75 and 31,473.75

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Solution

The third proportional to 17,160.75 and 31,473.75 is: 57,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,160.75 : 31,473.75 = 31,473.75 : x
  2. Step 2: Convert to fraction form
    17,160.75/31,473.75 = 31,473.75/x
  3. Step 3: Cross multiply
    17,160.75x = 31,473.75 × 31,473.75
  4. Step 4: Simplify right side
    17,160.75x = 990,596,939.06
  5. Step 5: Solve for x
    x = 990,596,939.06/17,160.75
  6. Step 6: Final answer
    x = 57,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.