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Finding the Third Proportional to 5,982 and 10,764

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Solution

The third proportional to 5,982 and 10,764 is: 19,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 10,764 = 10,764 : x
  2. Step 2: Convert to fraction form
    5,982/10,764 = 10,764/x
  3. Step 3: Cross multiply
    5,982x = 10,764 × 10,764
  4. Step 4: Simplify right side
    5,982x = 115,863,696
  5. Step 5: Solve for x
    x = 115,863,696/5,982
  6. Step 6: Final answer
    x = 19,368.72

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.