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Finding the Third Proportional to 5,982 and 13,254

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Solution

The third proportional to 5,982 and 13,254 is: 29,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 13,254 = 13,254 : x
  2. Step 2: Convert to fraction form
    5,982/13,254 = 13,254/x
  3. Step 3: Cross multiply
    5,982x = 13,254 × 13,254
  4. Step 4: Simplify right side
    5,982x = 175,668,516
  5. Step 5: Solve for x
    x = 175,668,516/5,982
  6. Step 6: Final answer
    x = 29,366.18

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.