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Finding the Third Proportional to 976 and 2,098

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Solution

The third proportional to 976 and 2,098 is: 4,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 2,098 = 2,098 : x
  2. Step 2: Convert to fraction form
    976/2,098 = 2,098/x
  3. Step 3: Cross multiply
    976x = 2,098 × 2,098
  4. Step 4: Simplify right side
    976x = 4,401,604
  5. Step 5: Solve for x
    x = 4,401,604/976
  6. Step 6: Final answer
    x = 4,509.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.