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Finding the Third Proportional to 1,972.69 and 4,334.34

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Solution

The third proportional to 1,972.69 and 4,334.34 is: 9,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.69 : 4,334.34 = 4,334.34 : x
  2. Step 2: Convert to fraction form
    1,972.69/4,334.34 = 4,334.34/x
  3. Step 3: Cross multiply
    1,972.69x = 4,334.34 × 4,334.34
  4. Step 4: Simplify right side
    1,972.69x = 18,786,535.74
  5. Step 5: Solve for x
    x = 18,786,535.74/1,972.69
  6. Step 6: Final answer
    x = 9,523.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.