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Finding the Third Proportional to 8,001 and 17,293.50

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Solution

The third proportional to 8,001 and 17,293.50 is: 37,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 17,293.50 = 17,293.50 : x
  2. Step 2: Convert to fraction form
    8,001/17,293.50 = 17,293.50/x
  3. Step 3: Cross multiply
    8,001x = 17,293.50 × 17,293.50
  4. Step 4: Simplify right side
    8,001x = 299,065,142.25
  5. Step 5: Solve for x
    x = 299,065,142.25/8,001
  6. Step 6: Final answer
    x = 37,378.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.