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Finding the Third Proportional to 17,972 and 39,240

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Solution

The third proportional to 17,972 and 39,240 is: 85,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972 : 39,240 = 39,240 : x
  2. Step 2: Convert to fraction form
    17,972/39,240 = 39,240/x
  3. Step 3: Cross multiply
    17,972x = 39,240 × 39,240
  4. Step 4: Simplify right side
    17,972x = 1,539,777,600
  5. Step 5: Solve for x
    x = 1,539,777,600/17,972
  6. Step 6: Final answer
    x = 85,676.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.