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Finding the Third Proportional to 6,724 and 15,978

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Solution

The third proportional to 6,724 and 15,978 is: 37,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 15,978 = 15,978 : x
  2. Step 2: Convert to fraction form
    6,724/15,978 = 15,978/x
  3. Step 3: Cross multiply
    6,724x = 15,978 × 15,978
  4. Step 4: Simplify right side
    6,724x = 255,296,484
  5. Step 5: Solve for x
    x = 255,296,484/6,724
  6. Step 6: Final answer
    x = 37,967.95

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.