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Finding the Third Proportional to 959.81 and 2,102.34

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Solution

The third proportional to 959.81 and 2,102.34 is: 4,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.81 : 2,102.34 = 2,102.34 : x
  2. Step 2: Convert to fraction form
    959.81/2,102.34 = 2,102.34/x
  3. Step 3: Cross multiply
    959.81x = 2,102.34 × 2,102.34
  4. Step 4: Simplify right side
    959.81x = 4,419,849.24
  5. Step 5: Solve for x
    x = 4,419,849.24/959.81
  6. Step 6: Final answer
    x = 4,604.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.