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Finding the Third Proportional to 2,982 and 4,943

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Solution

The third proportional to 2,982 and 4,943 is: 8,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,943 = 4,943 : x
  2. Step 2: Convert to fraction form
    2,982/4,943 = 4,943/x
  3. Step 3: Cross multiply
    2,982x = 4,943 × 4,943
  4. Step 4: Simplify right side
    2,982x = 24,433,249
  5. Step 5: Solve for x
    x = 24,433,249/2,982
  6. Step 6: Final answer
    x = 8,193.58

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.