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Finding the Third Proportional to 7,970 and 15,744

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Solution

The third proportional to 7,970 and 15,744 is: 31,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 15,744 = 15,744 : x
  2. Step 2: Convert to fraction form
    7,970/15,744 = 15,744/x
  3. Step 3: Cross multiply
    7,970x = 15,744 × 15,744
  4. Step 4: Simplify right side
    7,970x = 247,873,536
  5. Step 5: Solve for x
    x = 247,873,536/7,970
  6. Step 6: Final answer
    x = 31,100.82

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.