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Finding the Third Proportional to 976.35 and 2,096.99

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Solution

The third proportional to 976.35 and 2,096.99 is: 4,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.35 : 2,096.99 = 2,096.99 : x
  2. Step 2: Convert to fraction form
    976.35/2,096.99 = 2,096.99/x
  3. Step 3: Cross multiply
    976.35x = 2,096.99 × 2,096.99
  4. Step 4: Simplify right side
    976.35x = 4,397,376.23
  5. Step 5: Solve for x
    x = 4,397,376.23/976.35
  6. Step 6: Final answer
    x = 4,503.89

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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.