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Finding the Third Proportional to 4,111 and 5,707

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Solution

The third proportional to 4,111 and 5,707 is: 7,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111 : 5,707 = 5,707 : x
  2. Step 2: Convert to fraction form
    4,111/5,707 = 5,707/x
  3. Step 3: Cross multiply
    4,111x = 5,707 × 5,707
  4. Step 4: Simplify right side
    4,111x = 32,569,849
  5. Step 5: Solve for x
    x = 32,569,849/4,111
  6. Step 6: Final answer
    x = 7,922.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.