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Finding the Third Proportional to 7,853.75 and 17,071

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Solution

The third proportional to 7,853.75 and 17,071 is: 37,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.75 : 17,071 = 17,071 : x
  2. Step 2: Convert to fraction form
    7,853.75/17,071 = 17,071/x
  3. Step 3: Cross multiply
    7,853.75x = 17,071 × 17,071
  4. Step 4: Simplify right side
    7,853.75x = 291,419,041
  5. Step 5: Solve for x
    x = 291,419,041/7,853.75
  6. Step 6: Final answer
    x = 37,105.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.