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Finding the Third Proportional to 2,732.06 and 4,334.34

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Solution

The third proportional to 2,732.06 and 4,334.34 is: 6,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.06 : 4,334.34 = 4,334.34 : x
  2. Step 2: Convert to fraction form
    2,732.06/4,334.34 = 4,334.34/x
  3. Step 3: Cross multiply
    2,732.06x = 4,334.34 × 4,334.34
  4. Step 4: Simplify right side
    2,732.06x = 18,786,535.74
  5. Step 5: Solve for x
    x = 18,786,535.74/2,732.06
  6. Step 6: Final answer
    x = 6,876.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.