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Finding the Third Proportional to 7,982 and 9,446

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Solution

The third proportional to 7,982 and 9,446 is: 11,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982 : 9,446 = 9,446 : x
  2. Step 2: Convert to fraction form
    7,982/9,446 = 9,446/x
  3. Step 3: Cross multiply
    7,982x = 9,446 × 9,446
  4. Step 4: Simplify right side
    7,982x = 89,226,916
  5. Step 5: Solve for x
    x = 89,226,916/7,982
  6. Step 6: Final answer
    x = 11,178.52

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.