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Finding the Third Proportional to 6,978 and 15,342

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Solution

The third proportional to 6,978 and 15,342 is: 33,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 15,342 = 15,342 : x
  2. Step 2: Convert to fraction form
    6,978/15,342 = 15,342/x
  3. Step 3: Cross multiply
    6,978x = 15,342 × 15,342
  4. Step 4: Simplify right side
    6,978x = 235,376,964
  5. Step 5: Solve for x
    x = 235,376,964/6,978
  6. Step 6: Final answer
    x = 33,731.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.